Permutations And Combinations Question 127

Question: In a touring cricket team there are 16 players in all including 5 bowlers and 2 wicket-keepers. How many teams of 11 players from these, can be chosen, so as to include three bowlers and one wicket-keeper [MP PET 1984]

Options:

A) 650

B) 720

C) 750

D) 800

Show Answer

Answer:

Correct Answer: B

Solution:

  • Required number of ways = $ ^{5}C_3{{\times }^{2}}C_1{{\times }^{9}}C_7 $ $ =10\times 2\times 36=720 $ .