Question

If A = {a, b, c) B = {b, d, e}

C = {a, e, i, o, u} then n [A ∩ C] x B] is

(1) 18

(2) 36

(3) 9

(4) 3

Answer 1

(4) 3

A ∩ C = {a,b,c} ∩ {a, e, i, o, u}

= {a}

n(A ∩ C) = 1

n[(A ∩ C) x B] = n(A ∩ C) x n(B)

= 1 x 3

= 3