AP EAMCET · Maths · Permutation Combination
The number of ways in which 3 men and 3 women can be arranged in a row of 6 seats, such that the first and last seats must be filled by men is
- A 720
- B 36
- C 144
- D 72
Answer & Solution
Correct Answer
(C) 144
Step-by-step Solution
Detailed explanation
\(3 \mathrm{M}, 3 \mathrm{~W}\) \begin{array}{|l|l|l|l|l|l|}\hline M & & & & & M \\\hline\end{array} Number of ways of filling first and last seats \(={ }^3 C_2 \times 2!=6\) No. of ways of filling middle seats is \(=4\) ! Requires number \(=24 \times 6=144\)
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