Unformatted text preview: (b) ±or all positive integers n , the integer n 3 + 5 n is divisible by 6. (c) If each of ten people donate money for a cause, each a whole, 2digit dollar amount, then it is always possible to ²nd two disjoint subsets A and B of these people so that the total contributions of A and B are equal. 3 Prove that for all positive integers n , we have n s k =0 p n k P 2 k ( nk ) = n 2 p 2 n2 n2 P ....
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 Fall '10
 Vetter
 Addition, Natural number, Prime number, positive integers, threedigit positive integers

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