Q17: Meg and Bob are among the 5 participants in a cycling : PS Archive
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# Q17: Meg and Bob are among the 5 participants in a cycling

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Manager
Joined: 11 Jan 2007
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Q17: Meg and Bob are among the 5 participants in a cycling [#permalink]

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03 Jun 2007, 19:40
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Q17:
Meg and Bob are among the 5 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?

A.24
B.30
C.60
D.90
E.120
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cool

CEO
Joined: 29 Mar 2007
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03 Jun 2007, 21:30
5!/5!-3! = 5!/2! =60

C
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04 Jun 2007, 04:14
1 2 3 4 5

meg B - - -
meg - B - -
meg - - B -
meg - - - B

4*1 +4*2 +4*3+4*4 +4*5=4+8+12+16+20=60

C is the one
04 Jun 2007, 04:14
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