Question

Four couples go to the school's drama production and sit together in a row of eight seats. In how many ways can these people arrange themselves if each couple sits together?

Answer 1

Answer: The required number of ways is 384.

Step-by-step explanation: Given that four couples go to the school's drama production and sit together in a row of eight seats.

We are to find the number of ways in which these people arrange themselves if each couple sits together.

If each of the four couples sit together, then each couple can sit in 2! ways.

Also, all the four couples can arrange themselves in 4! ways.

Therefore, the number of ways in which these people arrange themselves if each couple sits together is

`n=2!*2!*2!*2!*4!=16*24=384.`

Thus, the required number of ways is 384.