5 votes given. vote made of favorite and 2nd favorite. how many different votes can there be

Question

how many votes are possible if given 5 bands in a list and had to choose a favorite and then a 2nd favorite 

Answer 1

This is essentially a combination problem, namely 2 of 5 resulting in 10 possible different votes:

5!/(2!3!) = 120/(2x6) = 10

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