Permutation Combination
Permutation & Combination
- Factorial of a number
- The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n.
- Permutations of n distinct objects
- The number of permutations of n distinct objects is n!.
- Permutations of n objects, r of which are alike
- The number of permutations of n objects, r of which are alike, is given by:
- Circular permutations
- The number of circular permutations of n distinct objects is given by:(n-1)!
- Combinations of n distinct objects, r at a time
- The number of combinations of n distinct objects, r at a time, is given by:
- Combinations of n objects, r of which are alike
- The number of combinations of n objects, r of which are alike, is given by:
- The relationship between permutations and combinations
- The number of permutations of n objects, r of which are alike, is equal to the number of combinations of n objects, r at a time, multiplied by the number of permutations of r objects.
- Applications of permutations and combinations in probability and statistics
- Permutations and combinations are used in probability and statistics to calculate the probability of events and to estimate population parameters.
