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In how meny ways can three men and three women sit at a round table so that no two men can occupy adjacent positions ? |
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Answer» Let the 1st WOMAN choose a seat. She has 6 choices and PICKS 1. It becomes the anchor seat. 6 choices then collapse to just 1 because all seating permutations relative to any of the 6 choices available to become the anchor seat are identical relative to the circular seating arrangement.The 2nd woman has a choice of 2 SEATS and the 3rd woman has just 1 choice of seating. The men can then be accommodated with the 3 remaining seats in 3! ways. In response to the QUESTION, the TOTAL of seating arrangements with the constraint as specified = 1*2*(3!) = 12. please mark as the Brainliest answer |
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