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Choose at a conference [#permalink]
04 Oct 2010, 21:12

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

82% (02:07) correct
18% (01:19) wrong based on 11 sessions

At a conference, one team is made up of 4 men and 5 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)

(A) 120 (B) 126 (C) 180 (D) 420 (E) 460

Any quick way to solve this? I only solve it by splitting to 3 different scenarios. Takes way too much time.

Re: Choose at a conference [#permalink]
04 Oct 2010, 22:08

1

This post received KUDOS

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rafi wrote:

At a conference, one team is made up of 4 men and 5 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)

(A) 120 (B) 126 (C) 180 (D) 420 (E) 460

Any quick way to solve this? I only solve it by splitting to 3 different scenarios. Takes way too much time.

No of ways = All ways to choose - ways using just men - ways using just women = C(9,4)-C(5,4)-C(4,4) = 126 - 5 - 1 = 120

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