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# A 10-student class is to choose a president, vice president, and secre

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
A 10-student class is to choose a president, vice president, and secre  [#permalink]

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17 Dec 2018, 01:23
00:00

Difficulty:

25% (medium)

Question Stats:

79% (00:43) correct 21% (00:49) wrong based on 47 sessions

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A 10-student class is to choose a president, vice president, and secretary from the group. If no person can occupy more than one post, in how many ways can this be accomplished?

A. 72
B. 80
C. 90
D. 120
E. 720

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Joined: 24 Nov 2018
Posts: 109
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Re: A 10-student class is to choose a president, vice president, and secre  [#permalink]

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17 Dec 2018, 02:31
Bunuel wrote:
A 10-student class is to choose a president, vice president, and secretary from the group. If no person can occupy more than one post, in how many ways can this be accomplished?

A. 72
B. 80
C. 90
D. 120
E. 720

No of ways to choose a president=10C1
No. of ways to choose a vice president=9c1
No of ways to choose a sectary=8C1

Total no of ways=10C1*9C*8C1=720
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Re: A 10-student class is to choose a president, vice president, and secre  [#permalink]

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17 Dec 2018, 02:47
Bunuel wrote:
A 10-student class is to choose a president, vice president, and secretary from the group. If no person can occupy more than one post, in how many ways can this be accomplished?

A. 72
B. 80
C. 90
D. 120
E. 720

total ways to select one of each category:

10*9*8= 720 IMO E
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Re: A 10-student class is to choose a president, vice president, and secre   [#permalink] 17 Dec 2018, 02:47
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