Introduction to define factorial design:
The factorial design is defined as all positive integer of the n. The n! is product of the all positive integers are less than or equal to n. The operation of the factorial is encountered for number of different areas of the mathematics. The n! Symbol stands for factorial. These mathematics subjects are similar to algebra, mathematical analysis and combinatorics. If the number of combinations in a full factorial design is too high to be logistically feasible, a fractional factorial design may be done, in which some of the possible combinations (usually at least half) are omitted. In this article we discuss about define the factorial design with suitable examples problem.
The formula for factorial can be defined as,
n! = n * (n-1) ……… (n - (n-1))
Here n! = 0.
Example Problems for Define Factorial Design:
Problems for define factorial design:
1. Find the value of 9!
Solution:
The given factorial value is 9!
First expanding the given factorial values, then we get the answer,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
The answer of 9! is 362880.
2. Find the value of `(9!) / (8!)`
Solution:
The given factorial value is `(9!) / (8!)`
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we divide the 9! By 8!,
Therefore, `((9!) / (8!)) = (362880 / 40320)`
= 9
The answer of ((9!)/ (8!)) is 9.
3. Find the value of `(9! + 8!)`
Solution:
The given factorial value is `(9! + 8!)`
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we add the 9! and 8!,
Therefore, `(9! + 8!) = (362880 + 40320)`
= 403200
The answer of (9! + 8!) is 403200.
More Example Problems for Define Factorial Design:
Problems for define factorial design:
4. Find the value of `(9!) xx (8!)`
Solution:
The given factorial value is `(9!) xx (8!)`
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we multiply the 9! and 8!,
`(9!) xx (8!) = (362880) xx (40320)`
= 14631321600
The answer of (9!) * (8!) is 14631321600.
5. Find the value of `(9! - 8!)`
Solution:
The given factorial value is (9! - 8!)
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we subtract the 9! and 8!,
`(9!- 8!) = 362880 - 40320`
= 322560
The answer of (9! - 8!) is 322560.
The factorial design is defined as all positive integer of the n. The n! is product of the all positive integers are less than or equal to n. The operation of the factorial is encountered for number of different areas of the mathematics. The n! Symbol stands for factorial. These mathematics subjects are similar to algebra, mathematical analysis and combinatorics. If the number of combinations in a full factorial design is too high to be logistically feasible, a fractional factorial design may be done, in which some of the possible combinations (usually at least half) are omitted. In this article we discuss about define the factorial design with suitable examples problem.
The formula for factorial can be defined as,
n! = n * (n-1) ……… (n - (n-1))
Here n! = 0.
Example Problems for Define Factorial Design:
Problems for define factorial design:
1. Find the value of 9!
Solution:
The given factorial value is 9!
First expanding the given factorial values, then we get the answer,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
The answer of 9! is 362880.
2. Find the value of `(9!) / (8!)`
Solution:
The given factorial value is `(9!) / (8!)`
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we divide the 9! By 8!,
Therefore, `((9!) / (8!)) = (362880 / 40320)`
= 9
The answer of ((9!)/ (8!)) is 9.
3. Find the value of `(9! + 8!)`
Solution:
The given factorial value is `(9! + 8!)`
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we add the 9! and 8!,
Therefore, `(9! + 8!) = (362880 + 40320)`
= 403200
The answer of (9! + 8!) is 403200.
More Example Problems for Define Factorial Design:
Problems for define factorial design:
4. Find the value of `(9!) xx (8!)`
Solution:
The given factorial value is `(9!) xx (8!)`
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we multiply the 9! and 8!,
`(9!) xx (8!) = (362880) xx (40320)`
= 14631321600
The answer of (9!) * (8!) is 14631321600.
5. Find the value of `(9! - 8!)`
Solution:
The given factorial value is (9! - 8!)
First expanding the given factorial values, then we get the answer,
Here we find factorial of 9!,
`9! = 9xx8xx7xx6xx5xx4xx3xx2xx1`
= 362880
Then we find the factorial of 8!
`8! = 8xx7xx6xx5xx4xx3xx2xx1`
= 40320
Finally we subtract the 9! and 8!,
`(9!- 8!) = 362880 - 40320`
= 322560
The answer of (9! - 8!) is 322560.