SATHEE: Permutations And Combinations Question 132

Permutations And Combinations Question 132

Question: In the 13 cricket players 4 are bowlers, then how many ways can form a cricket team of 11 players in which at least 2 bowlers included [RPET 1988]

Options:

A) 55

B) 72

C) 78

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

The number of ways can be given as follows 2 bowlers and 9 other players $ {{=}^{4}}C_2{{\times }^{9}}C_9 $ 3 bowlers and 8 other players $ {{=}^{4}}C_3{{\times }^{9}}C_8 $ 4 bowlers and 7 other players $ {{=}^{4}}C_4{{\times }^{9}}C_7 $ Hence required number of ways $ =6\times 1+4\times 9+1\times 36=78 $ .

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Permutations And Combinations Question 132

Question: In the 13 cricket players 4 are bowlers, then how many ways can form a cricket team of 11 players in which at least 2 bowlers included [RPET 1988]

Options:

Answer:

Solution:

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