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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

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Application +4 | -1

The value of

^{50}{C_4} + \sum \limits_{r = 1}^6 \;\;{\;^{56 - r}}{C_3}\;

is

View answer and explanation

Correct option: A

{\;^{56}}{C_4}

Option A (

{\;^{56}}{C_4}

) is correct because the given summation can be simplified using the identity

{\;^n}{C_r} + {\;^n}{C_{r - 1}} = {\;^{n + 1}}{C_r}

repeatedly.

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