Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![The image shows a mathematical expression involving factorials:
\[
\frac{50!}{17! \times 17! \times 16!} =
\]
This expression is a typical form of calculating combinatorial coefficients, often used to determine the number of ways to choose a subset from a larger set. In this case, it might relate to a problem of choosing objects from a set of 50, partitioned into groups of sizes 17, 17, and 16.
Factorials, denoted by the exclamation mark (!), are the product of all positive integers up to a certain number. For example, \(5! = 5 \times 4 \times 3 \times 2 \times 1 = 120\).
To solve or simplify the expression, one could expand the factorials and perform appropriate cancellations to find the result. Depending on context, such calculations might be simplified using properties of binomial coefficients or computational tools.](https://content.bartleby.com/qna-images/question/6e3446a4-016f-4cfc-9697-774e86262985/0636139b-e35e-4ba4-9ded-e7ac1e776e1d/czawzzn_processed.jpeg)
Transcribed Image Text:The image shows a mathematical expression involving factorials:
\[
\frac{50!}{17! \times 17! \times 16!} =
\]
This expression is a typical form of calculating combinatorial coefficients, often used to determine the number of ways to choose a subset from a larger set. In this case, it might relate to a problem of choosing objects from a set of 50, partitioned into groups of sizes 17, 17, and 16.
Factorials, denoted by the exclamation mark (!), are the product of all positive integers up to a certain number. For example, \(5! = 5 \times 4 \times 3 \times 2 \times 1 = 120\).
To solve or simplify the expression, one could expand the factorials and perform appropriate cancellations to find the result. Depending on context, such calculations might be simplified using properties of binomial coefficients or computational tools.
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