b. 14C11
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![The image shows a mathematical expression related to combinations, represented as:
**b. \(^{14}C_{11}\)**
This notation is used in combinatorics to denote the number of ways to choose 11 items from a set of 14 items without regard to the order of selection. The general formula for combinations is given by:
\[
^{n}C_{r} = \frac{n!}{r!(n-r)!}
\]
Where:
- \(n\) is the total number of items,
- \(r\) is the number of items to choose,
- \(n!\) denotes the factorial of \(n\).
In this case, the expression evaluates the number of combinations possible when choosing 11 items from a group of 14.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F200174da-adda-4879-9257-5ec4e7bf574c%2F1a0ff418-3c51-4d1f-992f-6817f034a60a%2F6husqj8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a mathematical expression related to combinations, represented as:
**b. \(^{14}C_{11}\)**
This notation is used in combinatorics to denote the number of ways to choose 11 items from a set of 14 items without regard to the order of selection. The general formula for combinations is given by:
\[
^{n}C_{r} = \frac{n!}{r!(n-r)!}
\]
Where:
- \(n\) is the total number of items,
- \(r\) is the number of items to choose,
- \(n!\) denotes the factorial of \(n\).
In this case, the expression evaluates the number of combinations possible when choosing 11 items from a group of 14.
Expert Solution
Step 1: Formula used
nCr=
r!=r(r-1)(r-2)×....×3×2×1
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