[JEE Main 2008] the number of words from mississippi with no two s adjacent is
The number of words from MISSISSIPPI with no two S adjacent is
(a) $8\cdot\binom64\cdot\binom74$
(b) $6\cdot7\cdot\binom84$
(c) $6\cdot8\cdot\binom74$
(d) $7\cdot\binom64\cdot\binom84$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (d) $7\cdot\binom64\cdot\binom84$
Arrange $M,4I,2P$: $\frac{7!}{4!2!}=105=7\binom64$; place $4$ S's in the $8$ gaps: $\binom84$. So $7\cdot\binom64\cdot\binom84$.
JEE Main 2008 · Permutations and Combinations — verified solution by the Vidaara Team.
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