The South African National Assembly consists of 400 members. How many possible ways are there to divide the 400 seats among three parties (a) such that none of them has a majority? (b) such that none of them has a 2/3-majority?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The South African National Assembly consists of 400 members. How many possible ways are there to divide the 400 seats among three parties

(a) such that none of them has a majority?

(b) such that none of them has a 2/3-majority?

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