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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

{ }^{14} {C}_7+\sum\limits_ {{i}=1}^3{ }^{17-{i}} {C}_6=

View answer and explanation

Correct option: B

{ }^{17} {C}_7

Option B (

{ }^{17} {C}_7

) is correct because it is the simplified form of the given expression after applying the identity

{ }^{n} {C}_r + { }^{n} {C}_{r-1} = { }^{n+1} {C}_r

multiple times.

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

n