a2 - MATH 239 Assignment 2 This assignment is due at noon...

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MATH 239 Assignment 2 This assignment is due at noon on Friday, May 25, 2007, in the drop boxes opposite the Tutorial Centre, MC 4067. 1. (a) A national singing contest has 5 distinct entrants from each province (10) and each ter- ritory (3). Determine the generating function for modeling the number of ways to select finalists if one can pick at most one finalist from each province or territory. Evaluate the number of ways to select 7 finalists. (b) Determine the generating function for modeling the number of ways to select finalists if one can pick at most 3 finalists from each province or territory. 2. Use the Binomial Theorem to prove that X r + s = t ( - 1) r ± n + r - 1 r ²± m s ² = ± m - n t ² . 3. Write the following power series in the form (1
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This note was uploaded on 01/17/2011 for the course MATH 239 taught by Professor M.pei during the Spring '09 term at Waterloo.

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