2012 AMC 8 Problem 10
Attempt Problem 10 of the 2012 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
How many -digit numbers greater than are there that use the four digits of
Answer: D
Small hint:
The first digit cannot be .
Big hint:
Count arrangements starting with , then arrangements starting with .
Video solution:
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Written solution:
First, we can’t have the in the thousands position. Therefore, we have spots we can put it. Then, we have available positions for the and then the two s are placed. This makes it such that we have combinations.
Thus, the answer is D .
Problem 10 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
- 1993 AMC 8
- 1994 AMC 8
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- 1997 AMC 8
- 1998 AMC 8
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