In how many ways can 6 students sit in a row, if two of the students do not want to sit next to each other?

Guest May 15, 2020

#1**+1 **

Let us suppose that they DO want to sit next to each other

They can be seated in any of 5 poistions, each can be arranged in two ways and for each of these the other 4 students can be arranged in 4! =24 ways

So......we have 5 * 2 * 24 = 240 ways

And the ways they can be arranged where the two students do not want to sit next to each other =

total arrangements - 240 =

6! - 240 =

720 - 240 =

480 ways

CPhill May 15, 2020