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juantheron
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Finding all natural number ordered pair $(x,y)$ for which $\displaystyle \binom{x}{y} = 2020.$
An ordered pair is a pair of numbers written in a specific order, usually in the form (x,y). The first number, x, is known as the x-coordinate and the second number, y, is known as the y-coordinate.
"x choose y" is a mathematical notation that represents the number of ways to choose y items from a set of x items. It is also known as a binomial coefficient and is often written as ^{x}C_{y}.
The formula for calculating "x choose y" is x! / (y! * (x-y)!), where ! represents the factorial function. This can also be written as ^{x}C_{y} = x! / (y! * (x-y)!).
This equation is often used in combinatorics, which is the branch of mathematics that deals with counting and arranging objects. In this case, it represents the number of ways to choose y objects from a set of x objects, where the result is equal to 2020. It could also be used in problem-solving or probability questions.
Yes, "x choose y" can be used for any positive integers x and y, as long as x is greater than or equal to y. The result will always be a non-negative integer.