How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}

Answers

Answer 1

Answer:

There are 24 different correspondences.

Step-by-step explanation:

A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.

So, to count all the possible combinations, we need to find the number of possible options for each mapping

The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.

The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).

The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.

The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.

The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:

Combinations = 4*3*2*1 = 12*2 = 24

There are 24 different correspondences.


Related Questions

1.
Find the least common multiple.
20 and 12

Answers

Answer:

answer 60

Step-by-step explanation:

The LCM(12, 20) = 60.

When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number ?

Answers

Answer:

- 3

Step-by-step explanation:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

The number is - 3

The number is - 3.

To find the number.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. All the whole numbers are also integers, because integers include all the positive and negative numbers.

Given that:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

So, the number is - 3.

Learn more about integer here:

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Answers

Answer:

I can't see the small numbers.post it again

Step-by-step explanation:

If x=9/4, then prove that(x root x)^x= x^x root x

Will give Brainliest...

Answers

Answer:

√x-9=4

square on both sides

x-9=4*4

x-9=16

x=16+9

x=25

.

.hope it helps

plz mark as brainliest

[tex]( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for L. H. S.

Substituting the value [tex]x\:={ \frac{9}{4} } [/tex], we have

➼[tex]\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } [/tex]

➼[tex] \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } [/tex]

➼[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } [/tex]

Now let us find R. H. S.

➺[tex]\: {x}^{x \sqrt{x} } [/tex]

➺[tex]\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } [/tex]

➺[tex] \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } [/tex]

➺[tex] \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } [/tex]

➺[tex] \: { \frac{3}{2} }^{ \frac{54}{8} } [/tex]

➺[tex] \: ( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]

Since L. H. S = R. H. S

➝[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]

[tex]\boxed{Hence\:proved.}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Help me to do this set question ​

Answers

Fr it’s a hope it helps

2 more after this help

Answers

Answer:

y = 1x-5

Step-by-step explanation:

We know two points so we can find the slope

(0,-5) and (5,0)

m = ( y2-y1)/(x2-x1)

   = ( 0 - -5)/(5-0)

   (0+5)/(5-0)

    5/5

=1

We know the y intercept = -5

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1x-5

ecuaciones con resultado 17

Answers

Answer:

x-1= -18

x = -18 +1

x = -17

2x - 4 = - 38

2x = -38 + 4

2x = -34

x = -34/2

x = -17

Step-by-step explanation:

Divisibility rules for 2, 5, and 10

Which numbers are divisible by 10?

A)222

B)185

C)847

or none of these

Answers

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.

Which is the most expensive? 6 for $46.50 or 9 for $67.50?

Answers

Answer:

6 for 46.50$

Step-by-step explanation:

you can divide 67.50 over 46.50 (it is less than 3/2)

so 46.50 for 6 is the most expensive

of course if you buy more, it is going to be cheaper than buying less

Complete the table of values:

Answers

Formula given: [tex]y=x^{2} -x-6[/tex]

x      -3        -2        -1         0         1          2        3

y       6         0       -4         -6       -4        -4        0

when x = -2

[tex]=(-2)^{2} -(-2)-6[/tex]

[tex]=0[/tex]

when x = -1

[tex]=(-1)^{2} -(-1)-6[/tex]

[tex]=-4[/tex]

when x = 1

[tex]=(1)^{2} -(1)-6[/tex]

[tex]=-6[/tex]

when x = 2

[tex]=(2)^{2} -(2)-6[/tex]

[tex]=-4[/tex]

when x = 3

[tex]=(3)^{2} -(3)-6[/tex]

[tex]=0[/tex]

Answer:

-3          -2          -1          0          1          2          3

6            0          -4         -6         -6       -4          0

Step-by-step explanation:

One is given the following function;

[tex]y=x^2-x-6[/tex]

The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.

[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]

[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]

[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]

[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]

[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]

What is the answer to 12 radius circle

Answers

Answer:

The answer is 113.10 ft²

Step-by-step explanation:

The square feet which is the area of a 12 ft circle is 113.10. If there is a option for that

Answer:

113.04 ft^2

Step-by-step explanation:

use formule A = πr^2

All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation

Answers

~All squares are rectangles, but not all rectangles are squares.
~All squares are rhombuses, but not all rhombuses are squares.
This statement is ✨True✨

Please give a real answer.

No Docs/No files/No link

I will rate a 5-star and give the brainiest.

Answers

Answer:

3.5 m

Step-by-step explanation:

PQ = 5/(5+5) × 7

= 5/10 × 7

= 3.5 m

If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values of the second largest number.

Answers

I believe you meant:

If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values and the second largest number

Answer:

Sum of all possible values = 40

Second largest number= 8

Explanation:

Since our mean, mode, and range is 8, our sum is 40 and our second largest number is 8.

The sum of all the numbers is 40 since our mean is 8 and there are 5 numbers(8×5)

To find possible values, we already know the mode is 8 and so we know 8 must appear more than once. If we have 8 twice then we are left with 24(sum is 40). We have 3 numbers left and the range is 8 so we must have a maximum number and minimum number that has a difference of 8 and a third number, all adding up to 24(sum left). Within 24, only 12-4+8 satisfies the condition, hence our numbers are: 4,8,8,8,12.

m^(2)-n^(2)+6n-9
Please factor this out completely and help me

Answers

Answer:

m^2-n^2+6n-9

m^2-6n^2-9

A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?

Answers

Answer:

[tex]W=2.58 unit[/tex]

[tex]L=15.5 unit[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=40[/tex]

Equation

Length [tex]L=6LW[/tex]

Generally the equation for Area of a rectangle is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=W*(6W)[/tex]

 [tex]A=6W^2[/tex]

 [tex]W=\sqrt{40/6}[/tex]

 [tex]W=2.58 unit[/tex]

Therefore Length is

 [tex]L=6W[/tex]

 [tex]L=6(2.58)[/tex]

 [tex]L=15.5 unit[/tex]

Length = 10

Width = 4

The dimensions of the rectangle would be 10 by 4.

joy wants to create a box with a volume of 8 cubic units. which dimensions would work

Answers

Answer:

The dimensions of the box is 2 units.

Step-by-step explanation:

Volume of cube, V = 8 cubic units

Let the length of the side is a.

So,

The volume of the cube is

[tex]V = a^3\\\\8 = a^3\\\\a = 2 units[/tex]

So, the dimensions of the box is 2 units.  

What is the answer to -4 + 10.
Negative 4 plus 10

Answers

Answer:

Six

Step-by-step explanation:

10 - 4 = 6

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

6

What is the center of the circle shown below?

Answers

Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

A un carpintero le encargaron cambiar la forma de una mesa, de circular a cuadrada. El radio de la mesa mide 2 m y los lados del cuadrado que le encargaron deben medir 2.83 m, como se muestra en la figura. (considerar π=3.14). ¿Cuántos metros cuadrados de área tiene que eliminar para que quede la mesa cuadrada?

Answers

Answer:

4.46 m^2

Step-by-step explanation:

Sabemos que para un círculo de radio R, el área es:

A = pi*R^2

mientras que para un cuadrado de lado L, el área es:

A = L^2

Ahora queremos calcular los metros cuadrados de área que tiene que sacar el carpintero, esto será simplemente igual a la diferencia entre el área original de la mesa (cuando es circular) y el área final de la mesa (cuando es cuadrada).

Originalmente, la mesa es circular y tiene un radio de 2m.

Entonces el área original es:

A = 3.14*(2m)^2 = 12.56 m^2

Al final, la mesa será un cuadrado de tal forma que sus lados deben medir 2.83m, entonces el área final de la mesa será:

A' = (2.83m)^2 = 8.01m^2

La diferencia nos da:

A - A' = 12.56 m^2 - 8.01m^2 = 4.46m^2

Esto nos dice que se deben eliminar 4.46 m^2 para que la mesa quede cuadrada.

Solve 2 ≤ 2x + 4 < 10 for x.

–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3

Answers

Answer:

-1 ≤ x  < 3

Step-by-step explanation:

2 ≤ 2x + 4 < 10

Subtract 4 from all sides

2-4 ≤ 2x + 4-4 < 10-4

-2 ≤ 2x  < 6

Divide all sides by 2

-2/2 ≤ 2x/2  < 6/2

-1 ≤ x  < 3

Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix? 3(3)(0.75)(2) = (3 + 0.75)x 3(3) + 0.75(2) = (3 + 0.75)x 3(3)(0.75)(2) = (3 + 0.75) + x 3(3) + 0.75(2) = (3 + 0.75) + x

Answers

Answer:

B

Step-by-step explanation:

3(3) + 0.75(2) = (3 + 0.75)x

CAN SOMEONE HLEP ME OUT WITH THIS PLEASE AND THANK YOU

Answers

Answer:

12 5/24 thats the answer

Step-by-step explanation:

use this website for mixed number calculator: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Marking brainliest need help

I’m purchasing tickets that are $40.00 but I have a discount which is 35% off. How much will I pay with that discount?

Answers

Answer:

26 Shilling

Step-by-step explanation:

The amount to be paid = The new price

where;

New price = (100-x)/100 * Original price

Original price = 40.00

x = discount

Placing in formula

100-35/100 * 40.00

65/100 *40

26 shilling

Therefore the amount you will pay for the discount is 26 shilling

2. Harry is rolling a die, what is the probability of him rolling an even
number in simplest form? *

Answers

Answer:

1/2 ( equally likely and equally unlikely)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

A die consists of six numbers. There are 3 even numbers in a die, 2,4, and 6.

This means that 3 out of 6 numbers in a die are even. 3/6 simplified is 1/2.

Can someone help me out with this at all?

Answers

Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?

Answers

Answer:

ss

Step-by-step explanation:

sas

The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be r

Let the center of the circle be A ( 5 , 2 )

Let the point on the circle be P ( -3 , 4 )

Now , standard form of a circle is

( x - h )² + ( y - k )² = r²

So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²

On simplifying the equation , we get

r² = ( 8 )² + ( 2 )²

r² = 64 + 4

r² = 68

Taking square roots on both sides , we get

r = √68

r = 2√17

Hence , the radius of the circle is 2√17 units

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i need help...... ..​

Answers

Problem 27)

Refer to the diagram that says "problem 27".

This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.

This equation comes from the simple interest formula below

i = P*r*t

i = 100*0.05*x

i = 5x

y = 5x

Note: The graph is a straight line through (0,0) and (1,5)

=====================================================

Problem 28)

The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.

The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.

The graph of points is shown below in the figure labeled "problem 28".

When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.

B
47°
F
G
A
C
20
J
H Н

Answers

Answer:

FGAC ‎20 ‎JH ‎Н

Step-by-step explanation:

FGAC ‎20 ‎JH ‎Н

what is the smallest number that can be subtracted from 376234 to make it divisible by 11​

Answers

Answer:

Odd:: 8+7+9=24

Even:: 2+8=10

So difference of odd and even is 24-10=14

Reducing 3 from this will make the difference (14–3) divisible by 11.

So the number to be subtracted is 3

And the number is 82786.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.

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