
Mark M. answered 12/03/14
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This is a combination. How many ways can 22 different candies be put into groups of 6.
22C6 = (22 · 21 · 20 · 19 · 18 · 17) / (6 · 5 · 4 · 3 · 2 · 1)
22C6 = 74613
Mr. Wonka has 74,613 different ways of handing out six pieces of candy.
74613 / 180 = 414.5.
Mr. Wonka can give out 414 days of candies without duplication.

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