Q18 of 31 Page 7

In how many ways can one select a cricket team of eleven players from 17 players in which only 5 players can bowl and exactly 4 bowlers are to be included in the team?

As 4 bowlers need to be included in a team.


This can be done in 5C4 ways.


Now 12 players remained out of 17 from which remaining team members are to be selected.


Now for a team of 11 players there are 7 players are left as 4 are bowlers.


So, the 11 players can be chosen in 12C7 ways.


Hence total ways = 5C4 × 12C7.






= 3960 ways


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