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JEE MATHEMATICS MCQ: PERMUTATIONS

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There are pp letters a,qa, q letters b,rb, r letters cc. The number of ways of selecting kk letters out of these if p<k<q<rp < k < q < r is
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Correct option: B
12(p+1)(2k−p)\frac{1}{2}(p+1)(2 k-p)
Option B (12(p+1)(2k−p)\frac{1}{2}(p+1)(2 k-p)) is correct because it represents the number of ways of selecting k letters out of p 'a's, q 'b's, and r 'c's, given p < k < q < r.

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