Permutation & Combination | Lesson-1| Defination| Classification|Types & Formulas

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Permutation:
Each of the different arrangements that can be made out of a given number of things by taking some or all of them at a time is called a permutation.

Combination:
Each of the different selections (or groups) that can be made out of a given number of things by taking some or all of them at a time is called a combination.

Let a, b, c be three letters. From this clearly, six different arrangements can be made by taking two letters at a time, example: - ab, ba, bc, cb, ca, ac; each of these arrangements is a permutation. Then, three different selections can be formed by taking two letters at a time example: - ab, bc and ca; each of these selections is a combination. Please note that, an order must be considered in forming permutations (i.e., ab and ba denote different permutations); but an order is immaterial in forming combinations (i.e., ab, and ba denote the same combination).

Factorial
The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1.

Examples:
4! = 4 × 3 × 2 × 1 = 24
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
1! = 1
0! = 1
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