Permutation and Combination

# Permutation and Combination

## Concept of Permutation and Combination

Permutation is an arrangement of objects in a specific order. There are n! ways to permute n objects, where n! is the product of all the different permutations of n objects.

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For example, there are six different permutations of the letters A, B, and C:

ABC
ABD
ACD
BCD
BDA
CDA

## Concept of Permutation And Combination

Permutation and combination are two different concepts in mathematics. Permutation is the arrangement of objects in a particular order. Combination is the selection of objects from a particular set, without regard to the order.

## What is Factorial?

The factorial of a number is the product of all the integers up to and including that number. For example, the factorial of 4 is 4! = 4 × 3 × 2 × 1 = 24.

## What is Permutation?

A permutation is an arrangement of a set of objects in a particular order.

## What is Combination?

A combination is a set of things that are put together.

## Difference Between Permutation and Combination

The key difference between permutation and combination is that permutation is a selection of items in a specific order, whereas combination is a selection of items without any order.

A permutation is an ordered selection of a certain number of items from a given set. The order matters, so for example, the permutation (1,2,3) is different from the permutation (3,1,2). The number of permutations is calculated by multiplying the number of items in the set by itself the number of times the selection can be made (the order matters). For example, if there are three items in the set, then there are 3! or six permutations (1,2,3,3,2,1; 2,1,3,3,1,2; 3,2,1,1,2,3; 1,3,2,2,1,1; etc).

A combination is a selection of items without any order. The order doesn’t matter, so for example, the combination (1,2,3) is the same as the combination (3,1,2). The number of combinations is calculated by multiplying the number of items in the set by itself the number of times the selection can be made (the order doesn’t matter). For example, if there are three items in the set, then there are 3! or six combinations (1,2,3,2,3,1

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The amount of the subsidy for a student who is a dependent of a veteran and is enrolled in a public institution of higher education in this state is the lesser of the amount of the tuition and fees for the student or the amount of the tuition and fees for the most expensive public institution of higher education in this state.

The amount of the subsidy for a student who is a dependent of a veteran and is enrolled in a private institution of higher education in this state is the lesser of the amount of the tuition and fees for the student or the amount of the tuition and fees for the most expensive private institution of higher education in this state.

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