Question

If A = {a,b, p}, B = {2, 3}, C = {p,q,r,s} then
n [(A $\cup$ C) × B] is ____

• A. 8
• B. 16
• C. 12
• D. 20

Answer 1

The correct option is C 12

Given, A = {a, b, p}, B = {2, 3} and C = {p, q, r, s}
$\therefore$ A $\cup$ C = {a, b, p, q, r, s}
$\Rightarrow$ n(A $\cup$ B) = 6 and n(B) = 2
Now, n[(A $\cup$ C) x B] = n(A $\cup$ B) x n(B)
= 6 x 2
= 12
$\therefore$ n[(A $\cup$ C) x B] = 12