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Use any or all of the methods described in this section to solve the below problem.
In a game of musical chairs, children will sit in chairs. (1 will be left out.) How many seatings are possible?
Solution
VerifiedTo solve this problem we can use few methods.
Let's solve it using the fundamental principle of counting, as follows:
At the beginig, in a game of musical chairs there are total of children that will sit in chairs, hence there are ways to fill the first spot. Since will be left out, in the next round of a game we have children and chairs. hence, we have ways to fill the second spot. Following the same logic, in next rounds, there are , ,..., ways to fill the tenth, nineth,...,third spot.As the games continous, there will be less children and less chairs, until the last round in which will be children and chair, therefore, in the last round there are possibilities. So, there are total of
seatings possible.
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