Question 653104
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Hi,
3 ladies and 3 gents can be seated at a around table so that any two and only two of the ladies sit together
Taking two ladies as one unit: 
4 entities in a circle, number of ways of that happening is (4-1)! ways
there are 3C2 or 3 ways of 'pairing the ladies'.
 {{{3(4-1)! = 3* 3*2*1 = 18}}}ways