Permutation & Combination

Permutation and Combination Formula – Properties

Here you will learn formula permutation and combination and properties of permutation and combination with examples. Let’s begin – Permutation and Combination Formula Permutation Each of the arrangements in a definite order which can be made by taking some or all of the things at a time is called a PERMUTATION. In permutation, order of …

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Addition Principle of Counting | Multiplication Principle

Here you will learn addition principle of counting and multiplication principle in permutation and combination with example. Let’s begin – If an event A can occur in ‘m’ different ways and another event B can occur in ‘n’ different ways, then the total number of different ways of- Multiplication Principle of Counting Simultaneous occurrences of …

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Total Number of Combinations | Permutation & Combination

Here you will learn how to find total number of combinations and distribution of distinct objects and alike objects. Let’s begin – Total Number of Combinations (a)  Given n different objects, the number of ways of selecting at least one of them is, \(^{n}C_1\) + \(^{n}C_2\) + \(^{n}C_3\) +…….+ \(^{n}C_n\) This can also be stated …

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Dearrangement Formula | Permutations of Alike Objects

Here you will learn dearrangement formula and permutation of alike objects with example. Let’s begin – Dearrangement Formula There are n letters and n corresponding envelopes. The number of ways in which letters can be placed in the envelopes (one letter in each envelope) so that no letter is placed in correct envelope is n![1 …

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What is the Formula for Circular Permutation ?

Here, we will learn circular permutation and the formula for circular permutation with examples. Let’s begin – Circular Permutation : If there are 4 different things, then for each circular arrangement number of linear arrangement is 4. Similarly, if n different things are arranged along a circle, for each circular arrangements number of linear arrangement …

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