Question

There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?

• (A) ${}^5{C}_4\times {}^{15}{C}_7$
• (B) ${}^5{C}_3\times {}^{15}{C}_8$
• (C) ${}^5{C}_5\times {}^{15}{C}_6$
• (D) ${}^5{C}_2\times {}^{15}{C}_9$

Answer 1

The Correct Option is A

Explanation:
Given that:There are 20 cricket players, out of which 5 players can bowl.We have to make a team of 11 players so to include 4 bowlers.So, we select 4 bowlers out of 5 players and the remaining 7 players must be selected from 15 players, i.e.,Total ways $={}^5{C}_4\times {}^{15}{C}_7$Hence, the correct option is (A).