Difference between revisions of "1987 AHSME Problems/Problem 12"
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==Problem== | ==Problem== | ||
| − | In an office, at various times during the day the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's in-box. When there is time, the secretary takes the top letter off the pile and types it. If there are five letters in all, and the boss delivers them in the order 1\ 2\ 3\ 4\ 5, which of the following could not be the order in which the secretary types them? | + | In an office, at various times during the day the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's in-box. When there is time, the secretary takes the top letter off the pile and types it. If there are five letters in all, and the boss delivers them in the order <math>1\ 2\ 3\ 4\ 5</math>, which of the following could not be the order in which the secretary types them? |
<math>\textbf{(A)}\ 1\ 2\ 3\ 4\ 5 \qquad | <math>\textbf{(A)}\ 1\ 2\ 3\ 4\ 5 \qquad | ||
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\textbf{(C)}\ 3\ 2\ 4\ 1\ 5 \qquad | \textbf{(C)}\ 3\ 2\ 4\ 1\ 5 \qquad | ||
\textbf{(D)}\ 4\ 5\ 2\ 3\ 1 \qquad | \textbf{(D)}\ 4\ 5\ 2\ 3\ 1 \qquad | ||
| − | \textbf{(E)}\ 5\ 4\ 3\ 2\ 1 \qquad</math> | + | \textbf{(E)}\ 5\ 4\ 3\ 2\ 1 \qquad</math> |
== See also == | == See also == | ||
Revision as of 07:43, 23 October 2014
Problem
In an office, at various times during the day the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's in-box. When there is time, the secretary takes the top letter off the pile and types it. If there are five letters in all, and the boss delivers them in the order 
, which of the following could not be the order in which the secretary types them?
See also
| 1987 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
