1 Answer | Add Yours
First in case (a) you should look at each pair as one block since they must sit next to each other. You can arrange 5 pairs in 5!=120 ways. Then you can arrange man and woman in 2 ways (mw or wm) for each of 5 pairs.
Your result is `5! cdot 2^5=3840`
In case (b) you have 8 people and 1 pair which you can arrange in 9! ways and you can arrange man and woman in the pair in 2 ways (mw or wm).
Your result is `9! cdot 2=725760`
We’ve answered 288,271 questions. We can answer yours, too.Ask a question