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Unformatted text preview: Show that no matter how we arrange the rugs, there will be two rugs that overlap with each other over a portion of 1 9 square meters. 4. How many natural numbers less than 10 , 000 have no divisor in the set { 6 , 8 , 20 } . 5. Count the solutions in positive integers x 1 ,...,x k of the equation x 1 + + x k = n . 6. Bonus Question! Given ve types of coins (penny, nickel, dime, quarter and halfdollar), in how many ways can we choose 12 coins such that no coin is chosen more than 4 times ?...
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 Fall '10
 CIOABA
 Math

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