Question

Given, P = {a, b, c, e}, Q = {b, c, d, f} and R = {c, f, h, i, j}. The number of elements in the set $P\cup Q\cup R$ is

• A. 12
• B. 11
• C. 10
• D. 9

Answer 1

The correct option is D 9

Given, $P=\{a,b,c,e\},$ $Q=\{b,c,d,f\}$ and $R=\{c,f,h,i,j\}$

$P\cup Q\cup R=(P\cup Q)\cup R$

$=\left(\right(a,b,c,e)\cup (b,c,d,f\left)\right)\cup (c,f,h,i,j)$

$=(a,b,c,d,e,f,h,i,j)$

Thus, we have 9 elements in union.