# Among 14 Players, 5 Are Bowlers. in How Many Ways a Team of 11 May Be Formed with at Least 4 Bowlers? (A) 265 (B) 263 (C) 264 (D) 275 - Mathematics

MCQ

Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with at least 4 bowlers?

• 265

• 263

• 264

• 275

#### Solution

264

Among 14 players, 5 are bowlers.
A team of 11 players has to be selected such that at least 4 bowlers are included in the team.

$\therefore \text{Required number of ways} = \ ^{5}{}{C}_4 \times \ ^{9}{}{C}_7 + \ ^{5}{}{C}_5 \times \ ^{9}{}{C}_6$
$= 180 + 84$
$= 264$

Concept: Combination
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Q 24 | Page 26