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Mathematical high jump
It is possible for students to compete for the championship of long jump, high jump and running 1 cubic.

There are two cubic possibilities for two students to compete for the three championships of long jump, high jump and running (because each event has two championship possibilities)

It is possible for four students to compete for the three championships of long jump, high jump and running.

Use this method to ensure that you won't make mistakes in the future.

The answer is 64.