MHT CET · Maths · Permutation Combination
Number of ways, in which 6 men and 5 women can sit at a round table, if no two women sit together, are
- A \(5 ! \times 4 !\)
- B \(6 ! \times 5 !\)
- C \(30\)
- D \(7 ! \times 5 !\)
Answer & Solution
Correct Answer
(B) \(6 ! \times 5 !\)
Step-by-step Solution
Detailed explanation
6 men can be seated around a round table in 5! ways
Now, 5 women can be seated in 6 places in 6 ! ways
Hence total number of ways is \(6 ! \times 5\) !
Now, 5 women can be seated in 6 places in 6 ! ways
Hence total number of ways is \(6 ! \times 5\) !
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