if $A$ and $B$ are finite set such that $n (A) = p$ and $n (B) = q$ , then find the number of functions from $A$ to $B$ .

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Solution

We have,

$n (A) = p$

$n (B) = q$

Number of function $A$ to $B$

$n (B) . n (A) . . . . . A t i m e s$

$= q . p$

Hence, this is the answer.

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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.

n (A) = 17

n (B) = 29.

n ((A \cup B) - (A \cap B))

A and B are finite sets such that n(A)=17 and n(B)=29. If A is a subset of B, then, $n ((A \cup B) - (A \cap B))$ = ___ .

A

B

n (A) = m_{1}

n (B) = m_{2}

n (A \cup B)

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