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27 May 2019, 03:35
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From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of k?
I. 3
II. 5
III. 7
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
I. 3
II. 5
III. 7
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
firas92
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Joined: 16 Jan 2019
Last visit: 02 Dec 2024
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Location: India
Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
WE:Sales (Other)
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8Ck = 56
Note that nCk = nC(n-k)
Therefore 8C3=8C5 (=56), whereas 8C7=8
Only I and II are possible
Answer is (D)
Hit Kudos if this helped!
Note that nCk = nC(n-k)
Therefore 8C3=8C5 (=56), whereas 8C7=8
Only I and II are possible
Answer is (D)
Hit Kudos if this helped!
27 May 2019, 03:44
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Bunuel
From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of k?
I. 3
II. 5
III. 7
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
I. 3
II. 5
III. 7
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
8CK = 56, let's check if k=3?
8C3 = (8!)/(5!)(3!) = 86, perfect.
Also k can be 5 because nCr = nC(n-r)
Can k be 7? No 8C7= 8.
Answer: D. I and II only
