JEE Mains · Maths · STD 11 - 6. permutation and combination
A committee of \(11\) members is to be formed from \(8\) males and \(5\) females. If \(m\) is the number of ways the committee is formed with at least \(6\) males and \(n\) is the number of ways the committee is formed with at least \(3\) females, then
- A \(n = m \,-\, 8\)
- B \(m + n = 68\)
- C \(m = n = 78\)
- D \(m = n = 68\)
Answer & Solution
Correct Answer
(C) \(m = n = 78\)
Step-by-step Solution
Detailed explanation
Since there are \(8\) males and \(5\) females. Out of these \(13,\) if we select \(11\) persons, then there will be at least \(6\) males and at least \(3\) females in the selection…
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