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Question

Mathematics Question on Sets

n(A)3,n(B)=2n(A) 3,n(B) = 2 then the number of surjections from AA to BB

A

3

B

6

C

8

D

9

Answer

6

Explanation

Solution

If n(A)=n,n(B)=2n(A) = n, n(B) = 2 then the no. of onto functions from AA to B=2n2B = 2^n - 2