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What is the difference between the number of three-member co
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Updated on: 06 Aug 2021, 04:08
Updated on: 06 Aug 2021, 04:08
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Question Stats:
56% (01:33) correct
43% (01:46) wrong based on 37 sessions
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What is the difference between the number of three-member committees that can be formed from a group of nine members and the total number of ways there are to arrange the members
of such a committee?
A. 0
B. 84
C. 252
D. 420
E. 504
of such a committee?
A. 0
B. 84
C. 252
D. 420
E. 504
Drill 1
Question: 9
Page: 560-561
Question: 9
Page: 560-561
Re: What is the difference between the number of three-member co
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07 Jan 2018, 18:20
07 Jan 2018, 18:20
Expert Reply
Explanation
To find the number of different committees. Make your slots and divide by the factoral \(\frac{9}{3}\frac{8}{2}\frac{7}{1}\)=84; eliminate choice (B).
To find the number of ways to arrange the committee members, just multiply 9 × 8 × 7 = 504, and eliminate partial choice (E). The difference is 504 − 84 = 420, choice D.
To find the number of different committees. Make your slots and divide by the factoral \(\frac{9}{3}\frac{8}{2}\frac{7}{1}\)=84; eliminate choice (B).
To find the number of ways to arrange the committee members, just multiply 9 × 8 × 7 = 504, and eliminate partial choice (E). The difference is 504 − 84 = 420, choice D.
Re: What is the difference between the number of three-member co
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08 Jan 2018, 02:42
08 Jan 2018, 02:42
understood the solution. I got 84- 3! ( wording of the question made it a bit difficult)
