Car Journey Argument

There are 8 tictacs left in the box. How many different ways can they be shared out between Suki, Jake, Theo and Will so that everyone gets at least one?


The answer is 35.

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1 solution

Will Hawkes
Jan 13, 2016

There are 5 ways of ensuring everyone gets at least one - 5111, 4211, 3311, 3221, and 2222. Then it's just a matter of how many permutations of these there are: 5111 = 4 ways, 4211 = 12 ways, 3311 = 6 ways, 3221 = 12 ways, 2222 = 1 way. Total = 35 ways

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