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[JEE Advanced 2007] permutations of cochin are arranged in dictionary order the number of words before cochin

VAVidaara Admin Asked 2d ago 0 views 1 answer
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Permutations of COCHIN are arranged in dictionary order. The number of words before COCHIN is

(a) $360$
(b) $192$
(c) $96$
(d) $48$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $96$

Letters $C,C,H,I,N,O$. Words starting $C$ with second letter $<O$ (i.e. $C,H,I,N$): $4\times4!=96$; then COCHIN follows immediately. So $96$ words precede it.

JEE Advanced 2007 · Permutations and Combinations — verified solution by the Vidaara Team.

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