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# From a group of three boys and four girls, a line of

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Manager
Joined: 10 Oct 2005
Posts: 51

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From a group of three boys and four girls, a line of [#permalink]

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15 May 2006, 19:31
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From a group of three boys and four girls, a line of children ordered from left to right is to be selected to salute the flag. If four children are in the line, how many different such lines can be formed?

(A) 35
(B) 70
(C) 210
(D) 420
(E) 840

Kudos [?]: 4 [0], given: 0

Director
Joined: 16 Aug 2005
Posts: 937

Kudos [?]: 28 [0], given: 0

Location: France

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15 May 2006, 20:51
From a group of three boys and four girls, a line of children ordered from left to right is to be selected to salute the flag. If four children are in the line, how many different such lines can be formed?

4+3 = 7 children

# of ordered lines = 7x6x5x4 = 840

Kudos [?]: 28 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5034

Kudos [?]: 437 [0], given: 0

Location: Singapore

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15 May 2006, 21:55
Total 7 children. We use permutations for this one as order counts as a seperate group. Total = 7P4 = 840

Kudos [?]: 437 [0], given: 0

Intern
Joined: 23 Feb 2006
Posts: 39

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16 May 2006, 03:39
1) We need to select 4 children out of 7 which equals 4C7
2) Order does matter so on first place any of 4, 2nd place any of 3 and so on...Answer 4!4C7=840

Kudos [?]: [0], given: 0

16 May 2006, 03:39
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