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# Two variants of the CAT paper are to be given to twelve students. In h

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Senior Manager
Joined: 12 Jan 2019
Posts: 263
Two variants of the CAT paper are to be given to twelve students. In h  [#permalink]

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12 Jan 2019, 23:40
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100% (01:16) correct 0% (00:00) wrong based on 1 sessions

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Two variants of the CAT paper are to be given to twelve students. In how many ways can the
students be placed in two rows of six each so that there should be no identical variants side by
side and that the students sitting one behind the other should have the same variant?
(a) $$2 × 12C6 × (6!)^2$$
(b) $$6! × 6!$$
(c) $$7! × 7!$$
(d) 6! x 7!
(e) $$None of these$$

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Senior Manager
Joined: 12 Jan 2019
Posts: 263
Re: Two variants of the CAT paper are to be given to twelve students. In h  [#permalink]

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12 Jan 2019, 23:43
First select six people out of 12 for the first row. The other six automatically get selected for the
second row. Arrange the two rows of people amongst themselves. Besides, the papers can be
given in the pattern of 121212 or 212121. Hence the answer is 2 × (12C6 × 6! × 6!).
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Re: Two variants of the CAT paper are to be given to twelve students. In h   [#permalink] 12 Jan 2019, 23:43
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