Factorial
In mathematics, the factorial of a natural number, denoted by n!, is the product of all natural numbers smaller or equal to n.
This can also be written as:
By convention, 0! = 1.
Example:
In mathematics, the factorial of a natural number, denoted by n!, is the product of all natural numbers smaller or equal to n.
This can also be written as:
By convention, 0! = 1.
Example:
In mathematics, a permutation of a set of objects is defined as a particular order of the items.
For example, the permutations of the set {1, 2, 3} are:
(1, 2, 3); (1, 3, 2); (2, 1, 3); (2, 3, 1); (3, 1, 2); (3, 2, 1);
The number of permutations for a set is given by n!.
Example: the permutations of 2 items from the set {1, 2, 3} are:
(1, 2); (2, 1); (1, 3); (3, 1); (2, 3); (3, 2);
The number of permutations of k objects is given by the formula:
After making the simplifications, we get:
In mathematics, a combination is a method of selecting a number of objects from a larger set, where order doesn't matter.
For example, the combinations of 2 items from the set {1, 2, 3} are:
{1, 2}; {1, 3}; {2, 3};
The number of combinations is given by the formula:
After making the simplifications, we get:
