Senior Manager Joined: 28 May 2022 Status:Dreaming and Working Affiliations: None Posts: 449 WE:Brand Management (Manufacturing)
In how many ways can a cricket team of 11 players be chosen out of a batch of 15 players?
(i) Number of ways choosing 11 players from 15 is 15C11 = 15C4 `= (15 xx 14 xx 13 xx 12)/(4 xx 3 xx 2 xx 1)` = 15 × 7 × 13 = 1365. (ii) If a particular is always chosen there will be only 14 players left put, in which 10 are to selected in 14C10 ways. 14C10 = 14C4 `= (14xx13xx12xx11)/(4xx3xx2xx1)` `= (14 xx 13 xx 11)/2` = 91 × 11 = 1001 ways (iii) If a particular player is never chosen we have to select 11 players out of remaining 14 players in 14C11 ways. i.e., 14C3 ways = `(14 xx 13 xx 12)/(3xx2xx1)` = 364 ways. Is there an error in this question or solution? |