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Question

Mathematics Question on Permutations

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

A

144

B

72

C

120

D

none of these.

Answer

144

Explanation

Solution

Reqd. no. of ways =(41)!4p3=6×4!=\left(4-1\right)! \,^{4}p_{3}=6\times4! =6×24=144=6\times24=144