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[JEE Advanced 2014] six cards go into six envelopes numbered 1 6 no card in its same

VAVidaara Admin Asked 2d ago 0 views 1 answer

Six cards go into six envelopes (numbered $1$–$6$), no card in its same-numbered envelope, but card $1$ is placed in envelope $2$. The number of ways is

(a) $264$
(b) $265$
(c) $53$
(d) $67$

1 Answer

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

Correct answer: (c) $53$

With card $1$ fixed in envelope $2$, the count of valid placements of the rest is $53$ (a constrained derangement).

JEE Advanced 2014 · Permutations and Combinations — verified solution by the Vidaara Team.

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