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TS EAMCET · Maths · Permutation Combination

10 men and 6 women are to be seated in a row so that no two women sit together. The number of ways they can be seated, is

  1. A \(11 ! 10 !\)
  2. B \(\frac{11 !}{6 ! 5 !}\)
  3. C \(\frac{10 ! 9 !}{5 !}\)
  4. D \(\frac{11 ! 10 !}{5 !}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{11 ! 10 !}{5 !}\)

Step-by-step Solution

Detailed explanation

W W W W W W W W W First, we arrange 10 men in a row at alternate position. So, number of ways formula \(=10\) ! Now, 6 women can arrange in 11 positions So, number of ways for women \(={ }^{11} P_6\) Required number of…