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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
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From a group of three boys and four girls, a line of [#permalink]  15 May 2006, 18:31
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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
Director
Joined: 16 Aug 2005
Posts: 947
Location: France
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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?

4+3 = 7 children

# of ordered lines = 7x6x5x4 = 840

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
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Total 7 children. We use permutations for this one as order counts as a seperate group. Total = 7P4 = 840
Intern
Joined: 23 Feb 2006
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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
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