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The pizza parlor will list the twelve toppings in two equal-sized columns on their menu. How many ways can they arrange the toppings in the left column?

User Fargonaut
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1 Answer

5 votes

Answer:

665280 ways

Explanation:

When learning about combinations and permutations, you will learn about specific keywords that apply to both. In this problem, the keyword "arrange" was used, letting you know that the problem required permutation.

There are twelve toppings, but we are looking at only the left column, meaning that there are only 6 possible positions open. This will give you the permutation 12 P 6.

The formula for permutations is n P r = (n !)/(n - r)!

For this problem, you would have 12 ! / 6 ! which gives you 665280.

User Theodores
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