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Lesson Worksheet: Counting Outcomes with Restrictions Mathematics
In this worksheet, we will practice finding the number of outcomes in a probability problem with a condition.
Five children need to sit at the back of a coach. There are five seats next to one another. However, Matthew and Benjamin do not want to sit next to each other. How many ways can the children sit in the five seats so that Matthew and Benjamin are not sitting next to each other?
Mia and Daniel are planning their wedding. They are working on the seating plan for the head table at the reception. Their head table is a straight table with 8 seats down one side; it needs to seat the bride and groom, the bride’s parents, the groom’s parents, the best man, and the maid of honor. Given that all couples need to sit next to each other and that the best man and maid of honor are not a couple, how many different options are there for seating everyone at the head table?