permutation and combination

Asked by  | 17th Mar, 2009, 11:52: PM

Expert Answer:

4 bowlers can to  be selected from 6 bowlers  in C(6,4) ways and  we need to select remaining 7 players from a group of 12 players consisting of 2WK and 10 batsmen

At least one wicket  keeper means it can be either one WK or 2 WK.

Now,

 if there is 1 WK, then there have to be 6 batsmen

and

if there are 2 WK then there can be 5 batsmen

So,  the team can be

 either

2WK and 5 batsmen[C(2,2)*C(10,5)

or

1WK and 6 batsmen[C(2,1)*C(10,6)]

So, the answer is

C(6,4){[C(2,2)*C(10,5)]+[C(2,1)*C(10,6)]}

 

Answered by  | 18th Mar, 2009, 10:59: PM

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