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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Analyzing +4 | -1

The value of

{\;^{35}}{C_8} + \sum \limits_{r = 1}^7 {\;^{42 - r}}{C_7} + \sum \limits_{s = 1}^5 {\;^{47 - s}}{C_{40 - s}}

, is

View answer and explanation

Correct option: D

{\;^{47}}{C_8}

Option D (

{\;^{47}}{C_8}

) is correct because it is the result of applying the identity

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

repeatedly to simplify the given expression.

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n