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  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

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    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
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You have a bag of 9 letters: 3 Xs, 3 Ys, and 3 Zs

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You have a bag of 9 letters: 3 Xs, 3 Ys, and 3 Zs  [#permalink]

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New post Updated on: 22 Jun 2012, 00:16
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Question Stats:

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You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?

A. 5
B. 6
C. 9
D. 12
E. 18

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Originally posted by BukrsGmat on 21 Jun 2012, 23:15.
Last edited by Bunuel on 22 Jun 2012, 00:16, edited 1 time in total.
Added the answer choices and the OA
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Re: You have a bag of 9 letters: 3 Xs, 3 Ys, and 3 Zs  [#permalink]

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New post 22 Jun 2012, 00:16
4
2
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?

A. 5
B. 6
C. 9
D. 12
E. 18

Consider one particular arrangement of the first row: XYZ, then we can construct only two boxes with so that no rows or columns have 2 or more of the same letter:
XYZ
YZX
ZXY


And:
XYZ
ZXY
YZX


Now, the first row itself can be arranged in 3!=6 ways (since there are three distinct letter), hence the total number of boxes possible is 2*6=12.

Answer: D.

Hope it's clear.

P.S. Please read and follow: rules-for-posting-please-read-this-before-posting-133935.html (points #7 and 8)
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Re: You have a bag of 9 letters: 3 Xs, 3 Ys, and 3 Zs  [#permalink]

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New post 09 Aug 2018, 10:29
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Re: You have a bag of 9 letters: 3 Xs, 3 Ys, and 3 Zs &nbs [#permalink] 09 Aug 2018, 10:29
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