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# A principal has four different trophies available for display in his

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Math Expert
Joined: 02 Sep 2009
Posts: 53832
A principal has four different trophies available for display in his  [#permalink]

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06 Mar 2019, 23:58
00:00

Difficulty:

35% (medium)

Question Stats:

71% (00:41) correct 29% (01:17) wrong based on 21 sessions

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A principal has four different trophies available for display in his two display cases. If only one trophy can fit in each display case, how many distinct ways are there to display two of the trophies in the cases at any given time?

A. 16

B. 12

C. 9

D. 8

E. 6

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Re: A principal has four different trophies available for display in his  [#permalink]

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07 Mar 2019, 05:12
1
Bunuel wrote:
A principal has four different trophies available for display in his two display cases. If only one trophy can fit in each display case, how many distinct ways are there to display two of the trophies in the cases at any given time?

A. 16

B. 12

C. 9

D. 8

E. 6

4C2 * 2 = 6*2 = 12
IMO B
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Joined: 05 Oct 2018
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Re: A principal has four different trophies available for display in his  [#permalink]

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07 Mar 2019, 05:36
For the first display 4 possible options.
And after one trophy is selected for the first display, the second can be selected in 3 possible ways(for 3 trophies)
4*3 = 12 possible ways

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Re: A principal has four different trophies available for display in his   [#permalink] 07 Mar 2019, 05:36
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