2000 AMC 8 Problem 5
Attempt Problem 5 of the 2000 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2000 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
Each principal of Lincoln High School serves exactly one -year term. What is the maximum number of principals this school could have during an -year period?
Answer: C
Small hint:
Let the -year window start at the end of a term
Big hint:
A principal can appear for only part of the -year period
Solution:
To maximize the number of principals, assume that the first year of this period is the final year of some principal’s term.
Then, there can be more principals for years, followed by another principal who works the final year.
This is principals.
Thus, C is the correct answer.
Problem 5 in other years
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