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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
115.0. "Adding numbers" by HARE::STAN () Wed Aug 01 1984 21:00
C. J. Smyth poses the following interesting problem in the New James
Cook Mathematical Notes, June 1984, issue 34 page 4055:
Suppose the set {1,2,3,...,3n} is divided into three disjoint sets
A, B, and C, each containing n of the numbers. Is it necessarily possible
to choose x in A, y in B, and z in C, such that one of the three
chosen numbers is the sum of the other two?