menu

arrow_back What is factorial notation?

by Bronze Status
(7,476 points)
in Mathematics
112 views
What is factorial notation?

1 Answer

Best answer
0 like 0 dislike
 
Best answer

When we apply the Multiplication Principle and do not allow repetition, the number of choices in each part of the product drops by \(1 .\) This leads to products like \(5 \cdot 4 \cdot 3 \cdot 2 \cdot 1\) or \(8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1\)
This type of product occurs so often that it is assigned its own symbol.
Factorial Notation
For any positive integer \(n\)
\[
n !=n(n-1)(n-2) \cdots 3 \cdot 2 \cdot 1
\]
The value of \(0 !\) is defined to be 1 .
Let's look at how we might apply this to an application.
Suppose a production line requires six workers to carry out six different jobs. Each worker can only do one job at a time. Once a worker is selected for a job, the other jobs must be carried out by the remaining workers. To find the number of ways we can assign workers to jobs, calculate the product

The number of ways to make each choice drops by one in each factor since each worker can only do one job. In effect, we can't choose the same worker twice. This is often indicated by saying that we want to assign workers without repetition.

by Bronze Status
(7,476 points)

Related questions


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is function notation?
1 answer 99 views
What is function notation?What is function notation? ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Sep 5, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Multiplication and division with scientific notation - $1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}$
1 answer 181 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{17}(-2 k+14) \]
1 answer 188 views
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{17}(-2 k+14) \]Consider the following sigma notation and answer the following questions. \ \sum_{k=7}^{17}(-2 k+14) \ (a) What is the starting value of \(\mathrm{k ...
by MathsGee Platinum
(119,120 points)
asked in Mathematics Aug 31, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the following sigma notation and answer the following questions. \[ \sum_{k=4}^{12}(k+15) \]
1 answer 126 views
Consider the following sigma notation and answer the following questions. \[ \sum_{k=4}^{12}(k+15) \]Consider the following sigma notation and answer the following questions. \ \sum_{k=4}^{12}(k+15) \ (a) What is the starting value of \(\mathrm{k}\) ...
by MathsGee Platinum
(119,120 points)
asked in Mathematics Aug 31, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{19}(3 k+2) \]
1 answer 102 views
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{19}(3 k+2) \]Consider the following sigma notation and answer the following questions. \ \sum_{k=7}^{19}(3 k+2) \ (a) What is the starting value of \(\mathrm{k}\ ...
by MathsGee Platinum
(119,120 points)
asked in Mathematics Aug 31, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Compute $\frac{1 \times 2 \times 3 \times \ldots \times 21}{1 \times 2 \times 3 \times \ldots \times 19}$
1 answer 161 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Add and subtract with scientific notation $1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}=?$
1 answer 149 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
For an integer $n$, what does the notation $n!$ (read $n$ factorial) represent?
1 answer 176 views
For an integer $n$, what does the notation $n!$ (read $n$ factorial) represent?For an integer $n$, what does the notation $n!$ (read $n$ factorial) represent? ...
by adminTedsf Wooden Status
(2,650 points)
asked in Mathematics Sep 22, 2019
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Write the following in sigma notation \(7+10+13+\cdots+25\)
0 answers 40 views
Write the following in sigma notation \(7+10+13+\cdots+25\)Write the following in sigma notation \(7+10+13+\cdots+25\) ...
by MathsGee Platinum
(119,120 points)
asked in Mathematics Apr 8
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Which is larger, \(99^{101}\) or \(101^{99}\)?
0 answers 52 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate \(1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}\)
1 answer 62 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Write the following series in sigma notation: \(5+8+11+14+17\)
1 answer 59 views
Write the following series in sigma notation: \(5+8+11+14+17\)Write the following series in sigma notation: \(5+8+11+14+17\) ...
by MathsGee Platinum
(119,120 points)
asked in Mathematics Apr 8
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is \(1 \div 2 \times 1 ?\)
0 answers 103 views
What is \(1 \div 2 \times 1 ?\)What is \(1 \div 2 \times 1 ?\) ...
by Pieter Gold Status
(31,941 points)
asked in Mathematics Mar 8
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate \(1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}\)
1 answer 86 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is scientific notation?
1 answer 86 views
What is scientific notation?What is scientific notation? ...
by Edzai Zvobwo Bronze Status
(9,010 points)
asked in Mathematics Jul 29, 2021
close

Q&A | Subjects | Request Private Tutor | eBook


Join the MathsGee Support Club where you get study and financial support for success from our community. LEARN - CONNECT - EARN


On the MathsGee Support Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Tip your favourite community member(s)


5. Create Live Video Tutorials (Paid/Free)


6. Join Live Video Tutorials (Paid/Free)


7. Earn points for participating



Posting on the MathsGee Support Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




Q&A RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


Q&A | Subjects | Request Private Tutor | eBook


MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Q&A | Subjects |Request Private Tutor | eBook