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The Parish Council Election

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
Here is an easy problem for the novice. At the last election of the parish council of Tittlebury-in-the-Marsh there were twenty-three candidates for nine seats. Each voter was qualified to vote for nine of these candidates or for any less number. One of the electors wants to know in just how many different ways it was possible for him to vote.

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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