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JEE Mains · Maths · STD 11 - 6. permutation and combination
A committee of \(4\) persons is to be formed from \(2\) ladies, \(2\) old men and \(4\) young men such that it includes at least \(1\) lady, at least \(1\) old man and at most \(2\) young men. Then the total number of ways in which this committee can be formed is
- A \(40\)
- B \(41\)
- C \(16\)
- D \(32\)
Answer & Solution
Correct Answer
(B) \(41\)
Step-by-step Solution
Detailed explanation
\(\left| {\begin{array}{*{20}{c}} L&O&Y \\ 2&2&4 \\ { \geqslant 1}&{ \geqslant 1}&{2 \leqslant } \end{array}} \right| \Rightarrow \left| {\begin{array}{*{20}{c}} L&O&Y \\ 1&1&2 \\ 1&2&1 \\ 2&1&1 \\ 2&2&0 \end{array}} \right|\) Required number of ways…
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