In how many ways 11 players can be selected from 15 players if
(i) one particular player is always selected ?
(ii) one particular player is never selected?

Explanation

(i) If a particular player is always selected then no of ways of selecting remaining 10 players from 14 players
`= .^(14)C_(10) = (14!)/(10!4!)`
`=(14 xx 13 xx 12 xx11)/(1 xx 2xx 3 xx 4)`
`= 1001`
(ii) If a particular player is never selected then no of way of selecting 11 players from 14 players
`.^(14)C_(11)`
`= (14!)/(11!3!)`
`= (14 xx 13 xx 12)/(1 xx 2xx 3) = 364`.