Question

if n ( a ) for what value n ( b ) , function f of a to b bijective

Answer 1

We know that given two sets A and B are mapped to form a function F: A →B is bijective only if n ( A) = n ( B) .

In the question we don't have n ( A) but we have been asked to find n ( B)

hence, n ( B) can be found in terms of n ( A) .

n ( B) = n ( A) .

hole helped!

Answer 2

f : A -> B. A : Domain. B = Range.

A function f is bijective, if f is one-to-one and onto function. Then the function f^-1 (inverse of f) also exists.

For this to happen, the sizes (cardinality) of the domain A and range B must be equal.

So n(A) = n(B).