Question

In a team of 11 players, there are 7 batsmen and 6 bowlers. Find the number of players who can do both bowling and batting.

• A. 2
• B. 4
• C. 6
• D. 0

Answer 1

The correct option is A

2

In the given question, Total number of players will be universal set i.e., n (U) = 11

Let, number of batsmen is represented by set A and number of bowlers is represented by set B

$⟹$ n (A) = 7 and n (B) = 6

Now, number of players who are both batsmen and bowlers i.e. n (A ∩ B) = n (A) + n (B) - n (A U B) ( $\because$ n (A U B) = n (A) + n (B) - n (A ∩ B))

= 7 + 6 - 11

= 2