Management Aptitude Test Dec 2012 Paper

Question : 108 of 200

Marks: +1, -0

A cricket team of 11 players is to be formed from a pool of 16 players that includes 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 one wicket keeper?

2472
2274
2427
1236

Validate

Solution:

(a) From 4 bowlers, 2 wicket keepers and 10 players, total number of required selection

^4C_3^2C_1^10C_7

^4C_4^2C_1^10C_6

^4C_3^2C_2^10C_6

^4C_2^2C_2^10C_5

4 × 2 × 120 + 1 × 2 × 210 + 4 × 1 × 201 + 1 × 1 × 252
= 2472

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