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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

The value of

{ }^{50} C_4+\sum\limits_{{r=1}}^6{ }^{56-r} C_3

is

View answer and explanation

Correct option: B

{ }^{56} C_4

The correct answer is

{ }^{56} C_4

because it is the result of applying the identity

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

repeatedly to simplify the summation.

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

n