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Onto Function

1. Let be a s...

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1. Let be a set with exactly 5 elements and y be a set with exactly 7 elements. If A Is the number of one - one functions from x to y and B is the number of onto functions from y to X, then find the value of B-A/5!

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X

be a set with exactly

5

Y

be a set with exactly

7

α

is the number of one-one functions from

X

Y

β

is the number of onto functions from

Y

X

, then the value of

\frac{1}{5!} (β - α)

X

be a set with exactly

5

Y

be a set with exactly

7

α

is the number of one-one functions from

X

Y

β

is the number of onto functions from

Y

X,

then the value of

\frac{1}{5!} (β - α)

X

be a set having

3

Y

be a set having

4

α

is the number of one-one functions from

X

Y

β

is the number of onto functions from

Y

X,

then the value of

(β - α)

x

denote the total number of one-one functions from a set

A

3

elements to a set

B

5

y

denote the total number of one-one functions from the set

A

A \times B

A

n

distinct elements. Then the total number of distinct functions from

A

A

is ____ and out of these ____are onto functions.

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