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## Permutations – Example and Practice Problems

With permutations, we can count the number of different ways of choosing objects from a set if the order of the objects does matter. This is different from combinations, where the order of the objects does not matter. Here, we will start with a summary of permutations...

## Combinations – Example and Practice Problems

Combinations are used to count the number of different ways that certain groups can be chosen from a set if the order of the objects does not matter. This is different from permutations, where the order of the objects does matter. Here, we will look at a brief summary...

## Factorials – Example and Practice Problems

Factorials are simply products, indicated by an exclamation point. The factorials indicate that there is a multiplication of all the numbers from 1 to that number. Algebraic expressions with factorials can be simplified by expanding the factorials and looking for...

## Fractional Exponents – Examples and Practice Problems

Fractional exponent exercises can be solved using the fractional exponent rule. This rule indicates the relationship between powers and radicals. The denominator of a fractional exponent is written as a radical of the expression and the numerator is written as the...

## Negative Exponents – Examples and Practice Problems

The negative exponents’ problems can be solved by applying the negative exponents’ rule, which tells us that a negative exponent can be transformed into a positive one by taking the reciprocal of its base. Here, we will look at a summary of expressions...