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# From a group of 6 boys and 6 girls a volleyball team of 6 players

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Manager
Joined: 02 Mar 2018
Posts: 70
Location: India
Schools: IIMA , IIMA PGPX"20
GMAT 1: 640 Q51 V26
GPA: 3.1
From a group of 6 boys and 6 girls a volleyball team of 6 players  [#permalink]

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Updated on: 05 Aug 2018, 10:23
1
00:00

Difficulty:

45% (medium)

Question Stats:

64% (03:01) correct 36% (03:16) wrong based on 11 sessions

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From a group of 6 boys and 6 girls a volleyball team of 6 players is to be selected. What is the probability that the team consists of 4 boys and 2 girls?

A) $$\frac{5}{33}$$

B) $$\frac{225}{308}$$

C) $$\frac{5}{22}$$

D) $$\frac{225}{311}$$

E) $$\frac{75}{308}$$

Originally posted by gsingh0711 on 05 Aug 2018, 09:53.
Last edited by generis on 05 Aug 2018, 10:23, edited 1 time in total.
Edited and formatted the question, renamed the topic
Manager
Joined: 02 Mar 2018
Posts: 70
Location: India
Schools: IIMA , IIMA PGPX"20
GMAT 1: 640 Q51 V26
GPA: 3.1
Re: From a group of 6 boys and 6 girls a volleyball team of 6 players  [#permalink]

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05 Aug 2018, 09:54
1
Explanation:

Total number of outcomes is selection of 6 players out of 12 = 12C6 = 924
Favorable number of ways is selection of 4 boys and 2 girls = 6C4 × 6C2 = 15 × 15 = 225 ways

⇒ Required probability = favorable outcomes / total outcomes = 225/924 = 75/308

I think, I deserve a kudus LOL
Re: From a group of 6 boys and 6 girls a volleyball team of 6 players &nbs [#permalink] 05 Aug 2018, 09:54
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