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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

The value of

{ }^{50} C_{4}+\sum_{r=1}^{6}{ }^{56-r} C_{3}

is

View answer and explanation

Correct option: D

{ }^{56} C_{4}

Option D (

{}^{56}C_4

) is correct because applying the identity

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

repeatedly simplifies the expression to

{}^{56}C_4

.

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

n