[JEE Advanced 2014] 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
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
· 1mo ago
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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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