Difference between revisions of "Mock AIME 1 Pre 2005 Problems/Problem 14"
(Created page with "== Problem == == Solution == == See also == {{Mock AIME box|year=Pre 2005|n=1|num-b=13|num-a=15|source=14769}} Category:Intermediate Algebra Problems") |
(→See also) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
| + | Wally's Key Company makes and sells two types of keys. Mr. Porter buys a total of 12 keys from Wally's. Determine the number of possible arrangements of My. Porter's 12 new keys on his keychain (rotations are considered the same and any two keys of the same type are identical). | ||
| − | + | Note: The problem is meant to be interpreted so that if you cannot produce one arrangement from another by rotation, then the two arrangements are different, even if you can produce one from the other from a combination of rotation and reflection. | |
| − | |||
== Solution == | == Solution == | ||
| Line 11: | Line 11: | ||
| − | [[Category:Intermediate | + | [[Category:Intermediate Combinatorics Problems]] |
Latest revision as of 12:01, 24 November 2021
Problem
Wally's Key Company makes and sells two types of keys. Mr. Porter buys a total of 12 keys from Wally's. Determine the number of possible arrangements of My. Porter's 12 new keys on his keychain (rotations are considered the same and any two keys of the same type are identical).
Note: The problem is meant to be interpreted so that if you cannot produce one arrangement from another by rotation, then the two arrangements are different, even if you can produce one from the other from a combination of rotation and reflection.
Solution
See also
| Mock AIME 1 Pre 2005 (Problems, Source) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
