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A box contains n coins, Let P(E(i)) be t...

A box contains n coins, Let `P(E_(i))` be the probability that exactly `i` out of n coins are biased. If `P(E_(i))` is directly proportional to `i(i+1),1 leilen`.
Q. Proportionality constant k is equal to

A

`(3)/(n(n^(2)+1))`

B

`(1)/((n^(2)+1)(n+2))`

C

`(3)/(n(n+1)(n+2))`

D

`(1)/((n+1)(n+2)(n+3))`

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