Difference between revisions of "1994 AIME Problems/Problem 11"
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== Problem == | == Problem == | ||
| − | Ninety-four bricks, each measuring <math>4''\times10''\times19'',</math> are to stacked one on top of another to form a tower 94 bricks tall. Each brick can be oriented so it contribues <math>4''\,</math> or <math>10''\,</math> or <math>19''\,</math> to the total height of the tower. How many | + | Ninety-four bricks, each measuring <math>4''\times10''\times19'',</math> are to stacked one on top of another to form a tower 94 bricks tall. Each brick can be oriented so it contribues <math>4''\,</math> or <math>10''\,</math> or <math>19''\,</math> to the total height of the tower. How many different tower heights can be achieved using all ninety-four of the bricks? |
== Solution == | == Solution == | ||
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== See also == | == See also == | ||
{{AIME box|year=1994|num-b=10|num-a=12}} | {{AIME box|year=1994|num-b=10|num-a=12}} | ||
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| + | [[Category:Intermediate Combinatorics Problems]] | ||
Revision as of 19:03, 4 December 2007
Problem
Ninety-four bricks, each measuring 
are to stacked one on top of another to form a tower 94 bricks tall. Each brick can be oriented so it contribues 
or 
or 
to the total height of the tower. How many different tower heights can be achieved using all ninety-four of the bricks?
Solution
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See also
| 1994 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
