Unformatted text preview: n th roots gives ( a 1 + a 2 +Â·Â·Â·+ a n )( 1 / a 1 + 1 / a 2 +Â·Â·Â·+ 1 / a n ) â‰¥ n 2 . 1.28 True or false with reasons. (i) For all integers r with 0 < r < 7, the binomial coef f cient ( 7 r ) is a multiple of 7. Solution. True. (ii) For any positive integer n and any r with 0 < r < n , the binomial coef f cient ( n r ) is a multiple of n . Solution. False. (iii) Let D be a collection of 10 different dogs, and let C be a collection of 10 different cats. There are the same number of quartets of dogs as there are sextets of cats. Solution. True. (iv) If q is a rational number, then e 2 Ï€ iq is a root of unity. Solution. True....
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 Fall '11
 KeithCornell
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