1994 AMC 8 Problem 8
Attempt Problem 8 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
For how many three-digit whole numbers does the sum of the digits equal
Answer: C
Small hint:
The largest possible digit sum is , so the digits must be close to all s
Big hint:
Find the digit combinations that sum to , then count how many arrangements each has
Solution:
Since the digits sum to and the maximum is , at least one digit is . The possible digit sets are and
Each set has distinct arrangements ( and ), giving numbers in all.
Thus, the correct answer is C .
Problem 8 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
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