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# A badminton club has 21 members. What is the ratio of number of 6-memb

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
A badminton club has 21 members. What is the ratio of number of 6-memb  [#permalink]

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02 Oct 2018, 02:21
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:18) correct 30% (01:47) wrong based on 46 sessions

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A badminton club has 21 members. What is the ratio of number of 6-member committees that can be formed from the members of the club to the number of 5-member committees that can be formed from the members of the club?

(A) 17 to 16
(B) 15 to 1
(C) 8 to 3
(D) 17 to 6
(E) 16 to 5

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Re: A badminton club has 21 members. What is the ratio of number of 6-memb  [#permalink]

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02 Oct 2018, 02:36
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$$\frac{21C_6}{21C_5}$$ = $$\frac{(21*20*19*18*17*16)}{6*5*4*3*2*1}$$*$$\frac{(5*4*3*2*1)}{21*20*19*18*17}$$ = $$\frac{16}{6}$$ or $$\frac{8}{3}$$

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Re: A badminton club has 21 members. What is the ratio of number of 6-memb   [#permalink] 02 Oct 2018, 02:36
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