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

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

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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
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15 May 2006, 19:51
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

Answer is E
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15 May 2006, 20:55
Total 7 children. We use permutations for this one as order counts as a seperate group. Total = 7P4 = 840
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16 May 2006, 02:39
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
16 May 2006, 02:39
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# From a group of three boys and four girls, a line of

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