Question

In the 13 cricket players 4 are bowlers, then how many ways can form a cricket team of 11 players in which at least 2 bowlers included

• A. 55
• B. 72
• C. 78
• D. None of these

Answer 1

Answer: (C)

78

Answer 2

The number of ways can be given as follows:

2 bowlers and 9 other players = $4C_{2} \times^{9} ⥂ C_{9}$; 3 bowlers and 8 other players = $4C_{3} \times^{9} ⥂ C_{8}$

4 bowlers and 7 other players = $4C_{4} \times^{9} ⥂ C_{7}$

Hence required number of ways = 6 × 1 + 4 × 9 + 1 × 36

= 78.