SOLUTION: I am currently working on my masters in education and have a math class (which is not MY subject) and my sponsor is not available. I hope you can help me solve this problem. This

Question 510225: I am currently working on my masters in education and have a math class (which is not MY subject) and my sponsor is not available. I hope you can help me solve this problem. This is the only math we have to do for this class, we usually do procedures and rules and lesson planning. I have no idea where to start to solve this. Thanks for the help! Wendy
QUESTION: There are 10 seats in a row at the counter inside a cafe. Two people enter the caf� when it opens. How many different ways can these two customers sit at the counter so that they are not next to each other?

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the first person can choose any of 10 seats, this leaves a choice of 9 seats for the other person
___ for a total of 90 possible seating arrangements (9 * 10)

the 10 seats contain 9 adjacent pairs
___ each of those pairs can be occupied in 2 ways (who's on the left and who's on the right)
___ this means 18 seating arrangements are not allowed (9 * 2)

so there are 72 ways for the people to sit (90 - 18)
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