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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1

The sum

\sum\limits_{0 \leqslant i} {\sum\limits_{ \leqslant j \leqslant 10} {\left( {^{10}{C_j}} \right)\left( {^j{C_i}} \right)} }

is equal to

View answer and explanation

Correct option: C

3^{10}-1

Option D (

3^{10}-1

) is correct because it represents the sum of binomial coefficients that can be simplified using the binomial theorem.

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n