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Standard XII

Mathematics

Definition of Functions

Let A = a , e...

Question

Let $A = {a, e, i, o, u}$ and $B = {m, y, g, h, n, s}$ . If $f : A \to B$ is a function, then the maximum number of such functions possible are

5^{6}

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6^{5}

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2^{30}

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30

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Solution

The correct option is B $6^{5}$
$n (A) = 5; n (B) = 6$
So, total number of functions from $A$ to $B$ is, $n (B)^{n (A)} = 6^{5}$

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Let A={a,e,i,o,u} and B={m,y,g,h,n,s}. If f:A→B is a function, then the maximum number of such functions possible are

The correct option is B 65n(A)=5; n(B)=6 So, total number of functions from A to B is, n(B)n(A)=65

Let $A = {a, e, i, o, u}$ and $B = {m, y, g, h, n, s}$ . If $f : A \to B$ is a function, then the maximum number of such functions possible are

The correct option is B $6^{5}$
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So, total number of functions from $A$ to $B$ is, $n (B)^{n (A)} = 6^{5}$