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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

1 of 1

Application +4 | -1

The least positive integer

n

for which

{ }^{n-1} C_5+{ }^{n-1} C_6 < { }^n C_7

is

View answer and explanation

Correct option: A

14

Option A (14) is correct because it is the smallest positive integer that satisfies the inequality

{ }^{n-1} C_5+{ }^{n-1} C_6 < { }^n C_7

, which simplifies to n > 13.

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