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Question

Mathematics Question on Relations and functions

If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then the number of relations from A to B is

A

292^9

B

929^2

C

323^2

D

2912^9 - 1

Answer

292^9

Explanation

Solution

A = {2, 4, 6}, B = { 2, 3, 5} No. of relations from A to B = 23×3=292^{3 \times 3} = 2^9