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Mr. Jones is the Chairman of a committee. In how many ways

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Mr. Jones is the Chairman of a committee. In how many ways

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Source: EMPOWERgmat

Mr. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Mr. Jones must be one of them?

A. 126
B. 252
C. 459
D. 3024

The OA is A.

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In this question some doubt does arise as to whether Mr.Jones is a part of the 10. Assuming he isn't the answer would be 10C4, which is not among the options.

Assuming that Mr.Jones is a member of the 10 and knowing that he must be selected, we have 9 other people who can be selected for 4 spots on the committee.
This gives us the answer as 9C4, which is 126

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BTGmoderatorLU wrote:
Source: EMPOWERgmat

Mr. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Mr. Jones must be one of them?

A. 126
B. 252
C. 459
D. 3024
Since Mr. Jones must be one of the chosen people, we have to choose 4 from the remaining 9 people for the committee, and the number of ways to do that is:

9C4 = (9 x 8 x 7 x 6)/(4 x 3 x 2) = 3 x 7 x 6 = 126

Answer: A

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Scott Woodbury-Stewart Founder and CEO

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