50C36 is divisible by

exp of 19 in 50 ! = = 2Exp. of 19 in 36 ! = = 1⇒ 50C36 is divisible by 19 but not by 192Exp. of 5 in 50 ! = = 12Exp. of 5 in 14 ! = = 2Exp. of 5 in 36 ! = = 8 Ans. A & B

Permutation and CombinationHard

Question

⁵⁰C₃₆ is divisible by

Options

A.19

B.5²

C.19²

D.5³

Solution

exp of 19 in 50 ! = = 2
Exp. of 19 in 36 ! = = 1
⇒ ⁵⁰C₃₆ is divisible by 19 but not by 192
Exp. of 5 in 50 ! = = 12
Exp. of 5 in 14 ! = = 2
Exp. of 5 in 36 ! = = 8 Ans. A & B

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