1990 AJHSME Problems/Problem 19
Problem
There are seats in a row. What is the fewest number of seats that must be occupied so the next person to be seated must sit next to someone?
Solution
Let be a person seated and is an empty seat
The pattern of seating that results in the fewest occupied seats is . We can group the seats in 3s like this:
There are a total of groups
See Also
1990 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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