Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Compute the following.**
\[
\binom{8}{5} = \_\_\_\_\_\_
\]
In this problem, you are asked to compute the binomial coefficient, also known as "8 choose 5." This represents the number of ways to choose 5 elements from a set of 8 elements. The formula for the binomial coefficient is:
\[
\binom{n}{k} = \frac{n!}{k!(n-k)!}
\]
Plugging in the numbers, we have:
\[
\binom{8}{5} = \frac{8!}{5!(8-5)!} = \frac{8!}{5!3!}
\]
Calculate this to find the number of combinations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0e38307-1ade-44bc-b712-aaeda4c58098%2F7c9d5a4c-b7c1-4d9d-8946-7c18b29efba1%2Fldtq9eu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Compute the following.**
\[
\binom{8}{5} = \_\_\_\_\_\_
\]
In this problem, you are asked to compute the binomial coefficient, also known as "8 choose 5." This represents the number of ways to choose 5 elements from a set of 8 elements. The formula for the binomial coefficient is:
\[
\binom{n}{k} = \frac{n!}{k!(n-k)!}
\]
Plugging in the numbers, we have:
\[
\binom{8}{5} = \frac{8!}{5!(8-5)!} = \frac{8!}{5!3!}
\]
Calculate this to find the number of combinations.
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