Algebra
Sets
MMTS_Full_Test_03
Grade 12
Question:
In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only?
Step-by-Step Solution
Key Concept: $|C\cup T|=|C|+|T|-|C\cap T|$; $|C\cup T|\le 65$
$|C\cup T|=40+|T|-10\le 65\Rightarrow|T|\le 35$. If all 65 are in $C\cup T$: $|T|=35$. Only tennis $=35-10=25$.
Correct Answer: 2