What is the number of ways to arrange 5 objects from a set of 9 different objects?

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What is the number of ways to arrange 5 objects from a set of 9 different objects?

Mathematics
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for the first object, there are 9 possibilities for the second object, there are 8 possibilities since we already used one the pattern keeps going until we get to the fifth object total number of possibilities = 9*8*7*6*5
A fish tank at a pet store has 10 goldfish. In how many different ways can Brian choose 3 goldfish to buy?

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combination formula nCr = n!(r!*(n-r)!) where n = 10 (number of total goldfish) and r = 3 (number of goldfish he wants)

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