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Question

Question: The number of ways in which 4 men and 3 ladies sit at a round table so that no any two ladies sit to...

The number of ways in which 4 men and 3 ladies sit at a round table so that no any two ladies sit together is

A

144

B

72

C

120

D

None of these

Answer

144

Explanation

Solution

41\begin{matrix} 4 - 1 \end{matrix} × 4C3 × 3\begin{matrix} 3 \end{matrix} = 3\begin{matrix} 3 \end{matrix} × 4\begin{matrix} 4 \end{matrix} = 144