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In the parliament of a certain there are 201 seats, and three political parties. How many ways can these seats be divided among the parties

 In the parliament of a certain there are 201 seats, and three political parties. How many ways can these seats be divided among the parties such that no single party has majority?

Show that n identical balls can be placed in r labeled boxes ( n>=r ) in such a way that no way that no box is empty in ( n-1 choose r-1) ways.

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