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The number of ways of distributing `3` identical physics books and `3` identical methematics books among three students such that each student gets at least one books isA. `45`B. `55`C. `64`D. `72` |
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Answer» Correct Answer - B `(b)` `n(A)=^(3+2-1)C_(2-1)xx^(3+2-1)C_(2-1)=16` `n(B)=n(C )=16` `n(AnnB)=^(3+2-1)C_(1-1)xx^(3+2-1)C_(1-1)` `=1=n(BnnC)=n(AnnC)` `n(AnnBnnC)=0` Required no. of ways `=100-(16+16+16-1-1-1+0)=55` |
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