SOLUTION: 3 ladies and 3 gents can be seated at a around table so that any two and only two of the ladies sit together.the number of ways is?

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Question 653104: 3 ladies and 3 gents can be seated at a around table so that any two and only two of the ladies sit together.the number of ways is?
Answer by ewatrrr(24785) About Me  (Show Source):
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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%284-1%29%21+=+3%2A+3%2A2%2A1+=+18ways