AP EAMCET · Maths · Permutation Combination
The number of ways in which a cricket team of 11 members can be formed out of 6 batsmen, 6 bowlers, 4 all-rounders and 4 wicket keepers by selecting atleast 4 batsmen, atleast 3 bowlers, atleast 2 all-rounders and only one wicket keeper is
- A \(11560\)
- B \(6480\)
- C \(7680\)
- D \(13080\)
Answer & Solution
Correct Answer
(D) \(13080\)
Step-by-step Solution
Detailed explanation
Wicket keepers: \( \binom{4}{1} = 4 \) Case 1: 4 Batsmen, 4 Bowlers, 2 All-rounders \( \binom{6}{4} \times \binom{6}{4} \times \binom{4}{2} = 15 \times 15 \times 6 = 1350 \) Case 2: 5 Batsmen, 3 Bowlers, 2 All-rounders…
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