Question

If P = {1, 3}, Q = {2, 3, 5}, find the number of relations from P to Q

Answer 1

Given, P = {1,3} and Q = {2, 3, 5} 

∵ n(P) = 2 and n(Q) = 3 

∴ Number of relations = 2^{n(p) x n(Q)}

= 2^{2 × 3}

= \(2^6\)

= 64