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21 people of which 12 are experienced. select a team of 3 so

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Intern
Joined: 29 Apr 2013
Posts: 5
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Kudos [?]: 0 [0], given: 2

21 people of which 12 are experienced. select a team of 3 so [#permalink]  18 Sep 2013, 07:44
21 people of which 12 are experienced. select a team of 3 so that

a) At least 1 is experienced
b) Exactly 1 is experienced

This is a PS question...

Manager
Joined: 18 Sep 2013
Posts: 54
Location: India
Concentration: General Management, Strategy
GMAT 1: 680 Q46 V36
GPA: 3.95
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 3 [1] , given: 8

Re: 21 people of which 12 are experienced. select a team of 3 so [#permalink]  18 Sep 2013, 08:01
1
KUDOS
aman kumar wrote:
21 people of which 12 are experienced. select a team of 3 so that

a) At least 1 is experienced
b) Exactly 1 is experienced

This is a PS question...

1. Exactly 1 is experienced
Total no of ways to select 1 person with experience - 12.
Total no of ways to select remaining 2 persons - 9C2.

hence total ways - 12 x 9C2 = 432.

2. Atleast 1 is experienced
(1E)(2NE) + (2E)(1NE) + 3E
12(9c2) + (12c2)9 + 12c3

Please press KUDOS if my post helped !!
Re: 21 people of which 12 are experienced. select a team of 3 so   [#permalink] 18 Sep 2013, 08:01
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