P5/P6 Math: Permutations

Once a Math Olympiad question type,
such questions are now becoming the norm for both P5 and P6 students alike.

Such questions usually appear in paper 1.
Calculator usage is not allowed.

In a robotics competition,
each robot must battle another robot once.
If there were 10 robots, how many battles must be carried out altogether?

Life-sized Gundam model in Japan


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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