JEE MATHEMATICS MCQ: PERMUTATIONS

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The value of

\sum\limits_{{r=1}}^{15} r^2\left(\frac{{ }^{15} C_r}{{ }^{15} C_{r-1}}\right)

is equal to:

View answer and explanation

Correct option: D

680

Option D (680) is correct because the summation simplifies to a manageable expression after simplifying the ratio of combinations, and the final calculation yields 680.

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