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# There are 4 men and 3 women sitting on the round table. In how many ways can they be seated such that 1 women come in between 2 men?

4! * 3! M _ M _ M _M

Assistant Professor

35

Path founder

168

35

Tutor

First fix the men in circular arrangement, which can be done in 3! (n-1!). Now there are 4 places between the men and three women are to be seated between the men. That can be done in 4P3 ways. Again you get 144 arrangements.

Electronics subject tutor

answer is 7! / (4! * 3!) = 7*6*5 / 1*2*3 = 35

4! * 4P3 ways

(4-1)! 4C3 3!

Tutor

72

Teacher

M=Male F=Female 4M and 3F 4+3=7 MFMFMFM =7 7!/3!x4! 7x6x5x4x3x2x1 _______________ (3x2x1)(4x3x2x1) =35

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