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a candy factory has an endless supply of red, orange, yellow, green, blue, and violet jelly beans. the factory packages the jelly beans into jars of 100 jelly beans each. one possible color distribution, for example, is a jar of 58 red, 22 yellow, and 20 green jelly beans. as a marketing gimmick, the factory guarantees that no two jars have the same color distribution. (a) what is the maximum number of jars the factory can produce? (b) suppose the factory sells all of the jars you counted in (a). what is the probability that a randomly purchased jar contains no violet jelly beans?

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