Difference between revisions of "1967 AHSME Problems/Problem 38"
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Latest revision as of 00:40, 16 August 2023
Problem
Given a set 
consisting of two undefined elements "pib" and "maa", and the four postulates: 
: Every pib is a collection of maas, 
: Any two distinct pibs have one and only one maa in common, 
: Every maa belongs to two and only two pibs, 
: There are exactly four pibs. Consider the three theorems: 
: There are exactly six maas, 
: There are exactly three maas in each pib, 
: For each maa there is exactly one other maa not in the same pid with it. The theorems which are deducible from the postulates are:
Solution
See also
| 1967 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 37 |
Followed by Problem 39 | |
| 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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
