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Question

A cricket team of 11 players is to be formed from 16 players including 4 bowlers and 2 wicket keepers. In how many different ways can a team be formed so that the team has atleast 3 bowlers and atleast one wicket keeper?


Correct Answer
A
2472
Your Answer
B
2274
Your Answer
C
2427
Your Answer
D
1236

Solution

The correct option is B 2472
Total number of bowlers = 4
Total number of wicket keepers = 2
Rest (normal) players = 10
Possible Combinations:
BowlersWicket keepersNormal players317326416425
Required number of ways
(4C3×2C1×10C7)+(4C3×2C2×10C6)+(4C4×2C1×10C6)+(4C4×2C2×10C5)=(3×1×7)+(3×2×6)+(4×1×6)+(4×2×5)=960+840+420+252=2472

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