Number of partitions
Prove that the number of partitions of n in which no part appears exactly once is equal to the number of partitions of n with no parts congruent to 1 or 5 (mod 6).
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A lolly manufacturer makes red, green, yellow and orange coloured jubes. He has made 245700 red jubes, 132300 green jubes, 114660 yellow jubes and 207900 orange jubes. The manufacturer desires to distribute the lollies equally among packers so th
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A scale model of a statue is 7 inches tall. The scale of the model is 1in/1.5ft. What is the actual height of the statue?
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