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In how many ways can a cricket team of eleven players be chosen out a batch 15 players, if (i) a particular is always chosen. (ii) a particular player is never chosen? |
Answer» (i) Since, particular player is always chosen. It means that 11-1=10 players are selected out of the remaining 15-1=14 players, `therefore`Required of ways`=.^(14)C_(10)=.^(14)C_(4)` `=(14*13*12*11)/(1*2*3*4)=1001` (ii) Since, particular player is never chosen. it means that 11 players are seletected out the remaining 15-1=14. players. `therefore`Required number of ways=`.^(14)C_(11)=.^(14)C_(3)` `=(14*13*12)/(1*2*3)=364` |
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