Question

if n*(a)=n*(b)=3,then how many bijective function from a to b can be formed.

Answer 1

SOLUTION

GIVEN

n(A) = n(B) = 3

TO DETERMINE

The number of bijective function from A to B

EVALUATION

We know that a function is said to be bijective if the function is both injective and surjective

We also know that if n(A) = n(B) = m

Then the number of bijective function from A to B = m!

Here it is given that n(A) = n(B) = 3

So the required number of bijective function from A to B

= 3 !

= 3 × 2 × 1

= 6

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