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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

The value of

\left( {{}^{21}{C_1} - {}^{10}{C_1}} \right) + \left( {{}^{21}{C_2} - {}^{10}{C_2}} \right) + \left( {{}^{21}{C_3} - {}^{10}{C_3}} \right) + \left( {{}^{21}{C_4} - {}^{10}{C_4}} \right) + ... + \left( {{}^{21}{C_{10}} - {}^{10}{C_{10}}} \right)

is

View answer and explanation

Correct option: D

{2^{20}} - {2^{10}}

Option A (12/5) is correct because the variance is calculated using the formula npq for a binomial distribution.

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n