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}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6^{5}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2^{30}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Suggest Corrections

Similar questions

Q. 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

Q. Let A = {1, 2, 3, 4, 5} and

f : A \to A

be an into function such that

f (i) \neq i \forall i \in A

then number of such functions f are

We don't go through the ground we stand on it because of this force. Name this force.

Q. Let

A = {1, 2, 3, 4, 5}

and

f : A \to A

be an into function such that

f (i) \neq i, \forall i \in A,

then number of such functions

f

are

'We didn't get anything. Can you explain in detail please??'One of the mathematicians shouted. Suddenly you got an idea to explain them the concept of integers by drawing figures. You drew 5 figures which represented different groups of numbers as:

Then you drew one of these pictures to show them the concepts of integers. Which one of these depict everything correctly?

Join BYJU'S Learning Program

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