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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

1 of 1

Application +4 | -1

\sum\limits_{{k=0}}^{6}{ }^{51-k} C_{3}

is equal to

View answer and explanation

Correct option: B

{ }^{52} C_{4}-{ }^{45} C_{4}

Option B (

{ }^{52} C_{4}-{ }^{45} C_{4}

) is correct because the summation of binomial coefficients can be simplified using the identity

{ }^{n}C_{r} + { }^{n}C_{r+1} = { }^{n+1}C_{r+1}

.

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{\;^{n + 2}}{C_8}:{\;^{n - 2}}{P_4} = \frac{{57}}{{16}}

n