Question

from 6 bowlers, 2 wicket keepersand 8 batsmen, in how many ways a team of 11 players consisting of atleast 4 bowlers ,1 wicket keeper and atleast 5 Batsmen can be formed​

Answer 1

Answer:

Let B stand for bowler, W for wicket-keeper and O for others. Thus we have B (4), W (2), O (10). Now we have to keep in mind the restrictions of at least 3 bowlers so that there could be either 3 or 4 bowlers, at least one wicket-keeper, so that there could be either 1 or 2 wicket-keepers.

B(4) W(2) O(10)

3 1 7

4

C

3

⋅

2

C

1

⋅

10

C

7

=960

3 2 6

4

C

3

⋅

2

C

2

⋅

10

C

6

=840

4 1 6

4

C

4

⋅

2

C

1

⋅

10

C

6

=420

4 2 5

4

C

4

⋅

2

C

2

⋅

10

C

5

=252

∴ Total selection on adding = 2472