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A cameraman wants to arrange six students of six different heights for

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A cameraman wants to arrange six students of six different heights for  [#permalink]

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New post 02 Oct 2018, 00:53
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Difficulty:

  95% (hard)

Question Stats:

18% (02:33) correct 82% (02:26) wrong based on 34 sessions

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A cameraman wants to arrange six students of six different heights for a picture by placing them in two rows of three such that each student in the first row stands in front of a student in the second row. The heights of the students within each row must increase from left to right, and each student in the second row must be taller than the student standing in front of him. How many such arrangements of the six students are possible?

(A) 4
(B) 5
(C) 6
(D) 12
(E) 24

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A cameraman wants to arrange six students of six different heights for  [#permalink]

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New post 05 Oct 2018, 10:18
IF 1 is the shortest and 6 is the tallest.
1 has to be on the first row left and 2 has to be on the second row right so their position is fixed
_ _ 6
1 _ _

To make this simpler arrange the ways in which the first row can be arranged apart from 1

Arrangement that will not be valid according to left to right restriction 32, 42, 43, 52, 53, 54
45(4 will be ahead of 3 or 2)

Possible combinations for the first row 23, 24, 25,34,35 so answer 5
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A cameraman wants to arrange six students of six different heights for &nbs [#permalink] 05 Oct 2018, 10:18
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A cameraman wants to arrange six students of six different heights for

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