Tournament Selection

A tournament of 64 teams has the teams split up into 4 groups of 16 teams, based on their geographical location. Only 1 team from each group would make it into the final match.

How many ways are there to form up 4 teams in the final match?

63 ( 16 4 ) { 16 \choose 4 } 1 6 4 16^4 4 16 4 ^ { 16 }

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