SATHEE: Permutations And Combinations Question 338

Permutations And Combinations Question 338

Question: A boat is to be manned by eight men of whom 2 can only row on bow side and 3 can only row on stroke side, the number of ways in which the crew can be arranged is

Options:

A) 4360

B) 5760

C) 5930

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b] First we have to select 2 men for bow side and 3 for stroke side. The number of selections of the crew for two sides $ {{=}^{5}}C_2{{\times }^{3}}C_3 $ For each selection there are 4 persons on both sides. Who can be arranged in $ 4!\times 4! $ ways? Required number of arrangement $ {{=}^{5}}C_2{{\times }^{3}}C_3\times 4!\times 4!=5760 $

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Permutations And Combinations Question 338

Question: A boat is to be manned by eight men of whom 2 can only row on bow side and 3 can only row on stroke side, the number of ways in which the crew can be arranged is

Options:

Answer:

Solution:

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