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01 Apr 2021, 04:00
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E
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Difficulty:
5%
(low)
Question Stats:
97% (00:32) correct
3%
(01:40)
wrong
based on 39
sessions
History
Date
Time
Result
Not Attempted Yet
A military commander has to choose 4 soldiers out of a company of 7 for guarding the headquarters. How many different group combinations of 4 does he have to choose from?
A. 4
B. 15
C. 16
D. 27
E. 35
A. 4
B. 15
C. 16
D. 27
E. 35
01 Apr 2021, 04:39
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Bunuel
Total combinations of r out of n = \(^nC_r\)
i.e. Total combinations of 4 out of 7 = \(^7C_4 = \frac{7!}{3!*4!} = 35\)
Answer: Option E
01 Apr 2021, 04:40
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7 People to choose from.
4 People needed.
7C4 = 7*6*5/(3*2*1) = 35
4 People needed.
7C4 = 7*6*5/(3*2*1) = 35
