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# If a club has 10 member and 3 are to be chosen to be delegates to a co

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Intern
Joined: 25 Nov 2010
Posts: 13
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Kudos [?]: 2 [0], given: 2

If a club has 10 member and 3 are to be chosen to be delegates to a co [#permalink]

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05 Dec 2010, 19:08
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If a club has 10 member and 3 are to be chosen to be delegates to a conference, what is the probability that Sara, a member of the club be one of the delegates?
Retired Moderator
Joined: 02 Sep 2010
Posts: 803
Location: London
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Kudos [?]: 999 [1] , given: 25

Re: If a club has 10 member and 3 are to be chosen to be delegates to a co [#permalink]

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05 Dec 2010, 20:28
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kevinfa wrote:
Hello Everybody,

I am new to this forum and I hope I am posting this problem in the right place. I would really appreciate it if anyone could help me to solve this problem and understand similar questions.

-If a club has 10 member and 3 are to be chosen to be delegates to a conference, what is the probability that Sara, a member of the club be one of the delegates?

The probability = (No of committees that include Sara) / (Total no of possible committess)

No of committess that include Sara = Ways to select 2 delegates from the other 9 members = C(9,2) = 36
Total no of possible committees = Ways to select 3 delegates from 10 members = C(10,3) = 120

Probability = 36/120 = 0.3
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Kudos [?]: 2 [0], given: 2

Re: If a club has 10 member and 3 are to be chosen to be delegates to a co [#permalink]

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05 Dec 2010, 20:31
Thanks a lot. I understand now!
Re: If a club has 10 member and 3 are to be chosen to be delegates to a co   [#permalink] 05 Dec 2010, 20:31
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