Compute the following. 91 7. b. C. a. 61(9 - 6)! 11 9. d. e. 10 91 a. (Type a whole number.) 6!(9 – 6). 8,
Compute the following. 91 7. b. C. a. 61(9 - 6)! 11 9. d. e. 10 91 a. (Type a whole number.) 6!(9 – 6). 8,
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Compute the following:**
a. \(\frac{9!}{6!(9-6)!}\)
b. \(\binom{7}{5}\)
c. \(\binom{8}{0}\)
d. \(\binom{9}{9}\)
e. \(\binom{11}{10}\)
---
**Answer:**
a. \(\frac{9!}{6!(9-6)!} = \_\_\_\) (Type a whole number.)
---
**Explanation:**
This set of problems involves computing combinations, where \(\binom{n}{r}\) represents the number of ways to choose \(r\) elements from a set of \(n\) elements without regard to the order of selection. The formula is given by:
\[
\binom{n}{r} = \frac{n!}{r!(n-r)!}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f6b4032-4723-40f9-bafe-2ad74429fe12%2Fe8b1ed3e-9c6f-41b7-b809-56851504f029%2Fm5t31tg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Compute the following:**
a. \(\frac{9!}{6!(9-6)!}\)
b. \(\binom{7}{5}\)
c. \(\binom{8}{0}\)
d. \(\binom{9}{9}\)
e. \(\binom{11}{10}\)
---
**Answer:**
a. \(\frac{9!}{6!(9-6)!} = \_\_\_\) (Type a whole number.)
---
**Explanation:**
This set of problems involves computing combinations, where \(\binom{n}{r}\) represents the number of ways to choose \(r\) elements from a set of \(n\) elements without regard to the order of selection. The formula is given by:
\[
\binom{n}{r} = \frac{n!}{r!(n-r)!}
\]
Expert Solution
Step 1
The objective is to simplify the given problems.
From the known information, the combination formula is,
Step by step
Solved in 6 steps with 6 images
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