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How many subsets of {1,2,...,n} contain no consecutive integers?
(No Solution Yet, 2 Comments) Submitted on 2015-05-22 by Ady TZIDON   
Difficulty: 3 of 5 Bonus: e pluribus unum (in Just Math) Rating: 3.85
Below are three groups of three numbers each. Combine the numbers in each group using the standard binary operations (addition, subtraction, multiplication, division, and exponentiation) so that each group yields the same number (there is one unique solution).
  1. 1, 6, 11
  2. 13, 20, 33
  3. 20, 33, 40
For example, given:
15, 19, 24          11, 30, 36          20, 22, 36
you could make:
24(19-15)=6       (30+36)11=6         20+22-36=6
(Solution Posted, 11 Comments) Submitted on 2003-12-08 by DJ   
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