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3. As an event coordinator part of your job is to prepare the seating arrangement in every program. In how many ways can you place three female and three male VIP guests in the front row if they are to sit alternately?
3. As an event coordinator part of your job is to prepare the seating arrangement in every program. In how many ways can you place three female and three male VIP guests in the front row if they are to sit alternately?
Answers & Comments
Answer:
i don't know because I have much better than you
If the three female and three male VIP guests are to sit alternately, then we have two groups of three people each: one group of three females and one group of three males.
We can arrange the three females in the front row in 3! = 6 ways, and we can arrange the three males in the back row in 3! = 6 ways. Then, we can alternate the females and males in the front row in 2! = 2 ways.
Therefore, the total number of ways to place three female and three male VIP guests in the front row if they are to sit alternately is:
6 x 6 x 2 = 72
So there are 72 ways to seat three female and three male VIP guests alternately in the front row.