If 2 people out of 7 refuse to sit next to each other in a row of 7 seats, how many ways are possible?
1 Answer
Feb 24, 2018
Explanation:
The total number of ways in which
#7 * 6 * 5 * 4 * 3 * 2 * 1 = 7! = 5040#
To find the number of these ways that are unacceptable because they result in the particular pair being sat next to one another, we can think of seating
That can be done in
So the total number of acceptable arrangements is:
#7! - 2 * 6! = 5040 - 1440 = 3600#