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

Revision as of 04:45, 20 January 2019 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>a_1 < a_2 < a_3</math> be three positive integers in the interval <math>[1,14]</math> satisfying <math>a_2-a_1>=3</math> and <math>a_3-a_2>=3</math>....")
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Problem

Let $a_1 < a_2 < a_3$ be three positive integers in the interval $[1,14]$ satisfying $a_2-a_1>=3$ and $a_3-a_2>=3$. 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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