JEE Mains · Maths · STD 11 - 6. permutation and combination
A scientific committee is to be formed from \(6\) Indians and \(8\) foreigners, which includes at least \(2\) Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is
- A \(1625\)
- B \(575\)
- C \(560\)
- D \(1050\)
Answer & Solution
Correct Answer
(A) \(1625\)
Step-by-step Solution
Detailed explanation
Indians Foreigners Number of ways \(2\) \(4\) \({ }^{6} C _{2} \times{ }^{8} C _{4}=1050\) \(3\) \(6\) \({ }^{6} C _{3} \times{ }^{8} C _{6}=560\) \(4\) \(8\) \({ }^{6} C _{4} \times{ }^{8} C _{8}=15\) Total number of ways \(=1625\)
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