The 17 species of fight less marine birds called penguins live only in the South
ID: 3135136 • Letter: T
Question
The 17 species of fight less marine birds called penguins live only in the Southern Hemisphere. A favorite food of smaller southern penguins is primarily krill, which attain high densities in the rich, well-oxygenated Antarctic waters. A researcher at Mawson Station has three krill treats to give to a colony of twelve penguins. With a spark of brilliance, he names them integers one through twelve . In how many ways may he select three oh his integer penguins for krill treats so that two of them are the average of a third integer penguin?
Two examples>>(1,5,3) and (2,6,4)
Explanation / Answer
Answer : 30
Distinct Possibilities:
(1,3,2)(1,5,3)(1,7,4)(1,9,5)(1,11,6)
(2,4,3)(2,6,4)(2,8,5)(2,10,6)(2,12,7)
(3,5,4)(3,7,5)(3,9,6)(3,11,7)
(4,6,5)(4,8,6)(4,10,7)(4,12,8)
(5,7,6)(5,9,7)(5,11,8)
(6,8,7)(6,10,8)(6,12,9)
(7,9,8)(7,11,9)
(8,10,9)(8,12,10)
(9,11,10)
(10,12,11)
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