Question

The numbers in the Venn diagram represent the number of elements in each subset. Find $n\left[\right(F\cup G)\cap H^{\prime }]$

• A. $3$
• B. $13$
• C. $15$
• D. $18$

Answer 1

Answer: (A), (B)

The correct options are
A $3$
B $13$

$F=\{4,3,2,1\}$

$G=\{2,3,6,5\}$

$H=\{1,2,5,6\}$

$F\cup G=\{1,2,3,4,5,6\}$

$H^{\prime }=\{1,2,5\}$

$(F\cup G)\cap H^{\prime }=\{3,4,6\}$

$n\left[\right(F\cup g)\cap H^{\prime }]=3$.