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In how many ways can you arrange the members of two committees of 11 males and...

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Advance Math

In how many ways can you arrange the members of two committeesof 11 males and 11 females around a circular table if the onlything that matters is who the neighbors of each committee memberare on each side (having person 1 on the right and person 2 on theleft is different from having person 1 on the left and person 2 onthe right), and not who sits in which chair if:

1. There are no restrictions

2. The two leaders of the committee members cannot sit next toeach other

3. Two males and two females cannot be seated next to each other(every other gender)

Answer & Explanation Solved by verified expert
4.2 Ratings (838 Votes)
Let us first label the chairs clockwise In this case we have22 ways to place the members on the labelled chairs But thelabelling can be done in 22 ways1st seat can be chosen in 22 waysand the rest of the labels are assigned automatically after thatHence    See Answer
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