SOLUTION: Among 18 members of a cricket club there are 2 wicket keepers and 5 bowlers.in how many ways can a team of 11 members be choosen so as to include only 1 wicket keeper and atleast

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Among 18 members of a cricket club there are 2 wicket keepers and 5 bowlers.in how many ways can a team of 11 members be choosen so as to include only 1 wicket keeper and atleast       Log On


   

Question 1191988: Among 18 members of a cricket club there are 2 wicket keepers and 5 bowlers.in how many ways can a team of 11 members be choosen so as to include only 1 wicket keeper and atleast 3 bowlers?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
18C11 are number of ways to choose 11 from 18=31,824
2C1*5C3*11C7 are ways to choose 1 wicket keeper, 3 bowlers, and 7 others from the 11 others=6600
2C1*5C4*11C6=4620
2C1*5C5*11C5=924
The number of ways is that sum, or 12,144