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Math Calculators ▶ Fundamental Counting Principle Calculator

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**Table of Content**

Develop all possible combinations for a specific problem with the help of the fundamental counting principle calculator. This is a useful way to avoid uncertainty in the event of an emergency.

**“The fundamental counting principle permutations and combinations are used to find the possible alternative of a problem”.**

The FPC stands for Fundamental Counting Principle, you can generate the alternative by the fundamental counting calculator to find a solution.

The fundamental counting principle is a process of generating the number of alternatives in a situation. In operation management, it is necessary to generate a number of alternatives to perform a task. There may be various situations or a problem that can be handled by the counting principles application.

Consider there are “n” ways of doing a certain job and “m” ways of doing the same job. The fundamental counting principle formula is:

A restaurant has 5 appetizers, 8 beverages, 9 sweets, and 6 desserts on the menu. Then use the counting principle to find the probability of various combinations of dishes.

The appetizers and a beverages permutation = appetizers *beverages

The appetizers and a beverages permutation =5*8=40

The beverage and a dessert permutation = beverage*dessert

The beverage and a dessert permutation=8*6=48

The beverage and a dessert and sweet permutation=beverage* dessert *sweet

The beverage and a dessert and sweet permutation=8*6*9= 432

**The total combination are = 5 *8 * 9* 6 **

**The total combination = 2160**

There can be other permutations and combinations of menus that can be generated by the fundamental counting calculator. The manager can use a combination of dishes to serve clients of various tastes.

The combination is simple to find by fundamental counting calculator in simple steps:

Let’s see how!

**Input:**

- Enter the number of choices of first, second, third option, and so on.
- Tap
**Calculate**

**Output:**

- Total number of permutations

The fundamental counting principle permutations and combinations are used to generate the alternatives to perform a job in different ways. The multiplication principle for counting provides an alternative to solving a problem.

There are two concepts of the counting principle

- Addition Principle
- Multiplication Principle

From the source of csus.edu: Counting principle

From the source of statisticshowto.com: Multiplication principle