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JEE MATHEMATICS MCQ: COMBINATIONS

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If

\frac{2}{{9!}} + \frac{2}{{3!7!}} + \frac{1}{{5!5!}} = \frac{{{2^a}}}{{b!}},

where

a,b, \in N

, then the ordered pair

\left( {a,b} \right)

is

View answer and explanation

Correct option: A

\left( {9,10} \right)

Option A ((9,10)) is correct because simplifying the given expression results in

\frac{{{2^9}}}{{10!}}

.

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