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Permutation Calculator
 
Method  
 

1. Find `n!`
n = !
  1. `3!`
  2. `4!`
  3. `5!`
  4. `6!`
  5. `7!`
  6. `8!`

2. Find `(n!)/(m!)`
!

!
 
  1. `(3!)/(2!)`
  2. `(4!)/(5!)`
  3. `(5!)/(3!)`
  4. `(6!)/(4!)`
  5. `(7!)/(8!)`
  6. `(8!)/(6!)`

3. Find `{::}^nP_r`
n = , r =
 
  1. `{::}^(3)P_(2)`
  2. `{::}^(4)P_(4)`
  3. `{::}^(5)P_(3)`
  4. `{::}^(6)P_(4)`
  5. `{::}^(7)P_(5)`
  6. `{::}^(8)P_(6)`

4. Find `{::}^nC_r`
n = , r =
 
  1. `{::}^(3)C_(2)`
  2. `{::}^(4)C_(4)`
  3. `{::}^(5)C_(3)`
  4. `{::}^(6)C_(4)`
  5. `{::}^(7)C_(5)`
  6. `{::}^(8)C_(6)`

5. How many words can be formed using the word ?
How many words can be formed by using all letters of the word
 
  1. daughter
  2. sister
  3. mother
  4. father
  5. brother

6. How many ways a committee of players can be formed ?
Option
From a group of
a committee of
 
  1. From a group of 6 Men, 5 Women. In how many ways a committee of 3 Men, 2 Women can be formed ?
  2. From a group of 7 Men, 6 Women. 5 persons are to be selected, so that atleast 3 Men are there in the committee.
  3. From a group of 15 Player. In how many ways a committee of 11 Player can be formed ?
  4. From a group of 6 boys, 4 girls. 4 persons are to be selected, so that atleast 1 boys are there in the committee.
  5. From a group of 2 white, 3 black, 4 red. 3 persons are to be selected, so that atleast 1 black are there in the committee.

7. Permutation, Combination List
n = , r =
Is order important?  
Is repetition allowed?  
List variables :
 
  1. `n=3, r=2`
  2. `n=4, r=4`
  3. `n=5, r=3`
  4. `n=6, r=4`
  5. `n=7, r=5`
  6. `n=8, r=6`

SolutionHelpPermutationFormula

 
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