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Standard XII

Mathematics

Permutation: n Different Things Taken r at a Time

The number of...

Question

The number of ways of distributing $10$ different books among $4$ students $(S_{1}, S_{2}, S_{3} & S_{4})$ such that $S_{1}$ and $S_{2}$ get $2$ books each and $S_{3}$ and $S_{4}$ get $3$ books each is

25200

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16800

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13200

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8900

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Solution

The correct option is A $25200$
Ways of distributing $=$
$^{10} C_{2} \times^{8} C_{2} \times^{6} C_{3} \times^{3} C_{3}$
$= 25200$

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The number of ways of distributing 10 different books among 4 students (S1,S2,S3&S4) such that S1 and S2 get 2 books each and S3 and S4 get 3 books each is

The correct option is A 25200Ways of distributing =10C2×8C2×6C3×3C3=25200

The number of ways of distributing $10$ different books among $4$ students $(S_{1}, S_{2}, S_{3} & S_{4})$ such that $S_{1}$ and $S_{2}$ get $2$ books each and $S_{3}$ and $S_{4}$ get $3$ books each is

The correct option is A $25200$
Ways of distributing $=$
$^{10} C_{2} \times^{8} C_{2} \times^{6} C_{3} \times^{3} C_{3}$
$= 25200$