A small band performed at a local church. They estimated 50 people would attend, but 80 people showed up to watch them play. Wha
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Answer:
1320 ways
Step-by-step explanation:
To solve we need to use permutations and factorials. If we wanted to find where they would all place 1-12, we would do 12!
12! is the same as 12x11x10x9x8... etc
But in this problem, we are only looking for the top 3.
We can set up a formula
N is the number of options that are available and r represents the amount we are choosing
In this case, we have 12 teams so n=12
We are looking for the top 3 so r=3
We expand the equation and cancel out
Notice how both sides can cancel out every number 9 and below
That leaves us with 12x11x10
1320 ways