JEE MATHEMATICS MCQ: COMBINATIONS

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The number of ways can a team of six horses be selected out of a stud of 16 , so that there shall always be three out of

A, B, C, D, E, F

but never

A D, B E

C F

together, is

View answer and explanation

Correct option: C

960

Option C (960) is correct because it calculates the number of ways to select the team of horses with the given constraints, considering the combinations of the special horses A, B, C, D, E, F and the remaining horses.

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A rectangle of dimension

m \times n

(

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A

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B

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

, then

n

is equal to