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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

1 of 1

Analyzing +4 | -1

If

n

is an integer with

0 \leq n \leq 11,

then the minimum value of

n !(11-n) !

is attained, when a value of

n

is

View answer and explanation

Correct option: B

5

Option B (5) is correct because

n!(11-n)!

is minimized when

n

is closest to

\frac{11}{2}

, which is 5.5. Since n must be an integer, n=5 or n=6 will minimize the expression.

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n