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Definition of Functions

Let A and B b...

Question

Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to

p^{q}

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q^{p}

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p C q

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p q

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Solution

The correct option is A $p^{q}$
Any element of set A, say $x_{i}$ can be connected with the element of set B in p ways. Hence, there are exactly $p^{q}$ functions.

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Similar questions

Let A and B be two sets such that n(A) = p and n(B) = q, write the number of functions from A to B.

A

B

n (A) = 16

n (B) = 12

n (A \cap B) = 8

n (A \cup B)

A

B

n (A) = 70

n (B) = 90

n (A \cup B) = 110

n (A \cap B)

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