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2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3

Revision as of 12:38, 6 June 2022 by Zom012 (talk | contribs) (→‎Problem)

Problem

Let $a_1 < a_2 < a_3$ be three positive integers in the interval $[1,14]$ satisfying $a_2-a_1\ge3$ and $a_3-a_2\ge3$. How many different choices of $(a_1,a_2,a_3)$ exist?

Solution

See also

2018 UNM-PNM Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 2 		Followed by
Problem 4
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions
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