Question 1122451
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The captain is a UNIQUE and DISTINGUISHABLE position.


It can be chosen in 15 ways.



Two alternate captains are two indistinguishable positions, so we use COMBINATIONS in this case,

and the number of relevant combinations is  {{{C[14]^2}}} = {{{(14*13)/2}}} = 91 ways.



So the answer to the problem's question is <U>THIS</U> :  in  15*91 = 1365 ways.
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Solved.