Question

If A = {1,4, 9}, B = {1, 8, 27, 64), then the number of into functions
from A to B, is​

Answer 1

SOLUTION

TO DETERMINE

The number of into functions from A to B

Where A = {1,4, 9} , B = {1, 8, 27, 64}

CONCEPT TO BE IMPLEMENTED

If A and B are two non empty sets with m and n elements respectively ( n > m ) then the total number of into functions from A to B

$\displaystyle \sf{ = {n}^{m} }$

EVALUATION

Here it is given that

A = {1,4, 9} , B = {1, 8, 27, 64}

Thus n(A) = 3 & n(B) = 4

Hence the required number of into functions from A to B

$\sf{ = {4}^{3} }$

$\sf{= 64}$

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