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How many committees of 5 members can be chosen from a group
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24 Nov 2017, 20:45
24 Nov 2017, 20:45
Expert Reply
00:00
Question Stats:
78% (00:28) correct
21% (00:46) wrong based on 41 sessions
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How many committees of 5 members can be chosen from a group of 8 people?
A. 28
B. 56
C. 118
D. 336
E. 6,720
A. 28
B. 56
C. 118
D. 336
E. 6,720
Drill 1
Question: 10
Page: 523
Question: 10
Page: 523
Re: How many committees of 5 members can be chosen from a group
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02 Dec 2017, 10:34
02 Dec 2017, 10:34
2
sandy wrote:
How many committees of 5 members can be chosen from a group of 8 people?
A. 28
B. 56
C. 118
D. 336
E. 6,720
A. 28
B. 56
C. 118
D. 336
E. 6,720
Drill 1
Question: 10
Page: 523
Question: 10
Page: 523
We can use combination ie 8C5 = 56
Re: How many committees of 5 members can be chosen from a group
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10 Dec 2017, 17:12
10 Dec 2017, 17:12
Expert Reply
Explanation
This is the number of combinations of 8 items taken 5 at a time (because the order does not matter). This number is equal to \(\frac{8}{5}\times\frac{7}{4}\times\frac{6}{3}\times\frac{5}{2}\times\frac{4}{1}=8\times7=56\).
Hence option B is correct!
This is the number of combinations of 8 items taken 5 at a time (because the order does not matter). This number is equal to \(\frac{8}{5}\times\frac{7}{4}\times\frac{6}{3}\times\frac{5}{2}\times\frac{4}{1}=8\times7=56\).
Hence option B is correct!
