**if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.**

What is the meaning of Fundoscopy?

**fundoscopy procedure**.

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Fundamental Principle of Counting Example: **A restaurant has 5 appetizers, 8 beverages, 9 entrees, and 6 desserts on the menu**. If you have a beverage and a dessert, there are 8*6=48 different meals consisting of a beverage and dessert. … Then there are 5*9*6*8=2160 different meals.

Learning Objectives The Fundamental Counting Principle states that if you wish to find the number of outcomes for a given situation, **simply multiply the number of outcomes for each individual event.**

Fundamental Principle of Counting: If an event can occur in m different ways, following which another event can occur in n different ways, then the total number of occurrence of the events in the given order is **m × n**.

Using the fundamental counting principle will **allow you to find the number of unique ways that a combination of events can occur by simply multiplying the number of options for each event**. If you have the same number of choices in several slots, you can also use exponents.

The fundamental counting principle **helps us find the total number of possible outcomes that come from multiple events**, whether we’re putting an outfit together with different shirts, pants and shoes; selecting a meal with different drink, salad and entree options; or putting together any group of choices.

The fundamental counting principle is a **rule used to count the total number of possible outcomes in a situation**. It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m ntimes m n×m ways to perform both of these actions.

Summary. The Fundamental Counting Principle states that if one event has m **possible** outcomes and a 2nd event has n possible outcomes, then there are m⋅n total possible outcomes for the two events together. A combination is the number of ways of choosing k objects from a total of n objects (order does not matter).

In combinatorics, the rule of product or multiplication principle is a basic counting principle (a.k.a. the fundamental principle of counting). Stated simply, it is the idea that **if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions**.

The Fundamental Counting Principle, sometimes referred to as the fundamental counting rule, is a way to figure out the number of possible outcomes for a given situation. While there are five basic counting principles: **addition, multiplication, subtraction, cardinality (principle of inclusion-exclusion), and division**.

Permutation: nPr represents the probability of selecting an ordered set of ‘r’ objects from a group of ‘n’ number of objects. The order of objects matters in case of permutation. The formula to find nPr is given by: **nPr = n!/(n-r)!**

As nouns the difference between fundamental and principle is that fundamental is a leading or primary principle, rule, law, or article, which serves as the groundwork of a system; essential part, as, the fundamentals of linear algebra while **principle is a fundamental assumption**.

There are **five** long-established counting principles that children must know in order to be able to count well.

These calculations are essential for solving many probability problems. The fundamental counting principle states that if **one event can occur in different ways and a second event can occur in different ways**, then the total number of ways in which both events can occur is A × B .

A tree diagram is a diagram used to show the total number of possible outcomes in a probability experiment. The Fundamental Counting Principle uses **multiplication of the number of ways each event in an experiment** can occur to find the number of possible outcomes in a sample space.

Permutation refers to the different ways of arranging a set of objects in a sequential order. Combination refers to **several ways of choosing items** from a large set of objects, such that their order does not matters.

- Arithmetic. Every integer greater than one is either prime or can be expressed as an unique product of prime numbers.
- Algebra. …
- Linear Programming. …
- Permutations using all the objects. …
- Permutations of some of the objects. …
- Distinguishable Permutations. …
- Pascal’s Triangle. …
- Symmetry.

∴ Hence the number of ways can the letters in ‘MISSISSIPPI’ be arranged is **34650**.

Combinatorics is the study of arrangements of objects, it is an important part of discrete mathematics. We **must count objects to solve many different types of problems**, like the determining whether there are enough telephone numbers or internet protocal (IP) addresses to meet demand.

From your earliest days of math you learned that **the order in which you add two numbers doesn’t matter**: 3+5 and 5+3 give the same result. The same is true for the addition of any finite set of numbers. … A series is said to converge absolutely if the sum of the absolute values of the terms converges.

Total possible arrangement of letters a b c d is **24**.

Hence the total number of possible permutations in the word MISSISSIPPI are 34650.

This video uses manipulatives to review the five counting principles including **stable order, correspondence, cardinality, abstraction, and order irrelevance**. When students master the verbal counting sequence they display an understanding of the stable order of numbers.

The product rule for counting – Higher To **find the total number of outcomes for two or more events, multiply the number of outcomes for each event together**. This is called the product rule for counting because it involves multiplying to find a product.

Second Rule of Counting: If an object is made by a succession of choices, and the order in which the choices is made does not matter, count the number of ordered objects (pretending that the order matters), **and divide by the number of ordered objects per unordered object**.

In probability, nCr states the selection of ‘r’ elements from a group or set of ‘n’ elements, such that the order of elements does not matter. The formula to find combinations of elements is: **nCr = n!/[r!(** **n-r)!]**

The combinations formula is: **nCr = n! / ((n – r)!** **r!)** **n = the number of items**. r = how many items are taken at a time.

Permutation (nPr) is the way of arranging the elements of a group or a set in an order. … **Combination** (nCr) is the selection of elements from a group or a set, where order of the elements does not matter.

1a : **serving as a basis supporting existence or determining essential structure or function** : basic Responsibility is fundamental to democracy. The Constitution ensures our fundamental rights. b : serving as an original or generating source : primary a discovery fundamental to modern computers.

**Humanity, impartiality, neutrality, independence, voluntary service, unity and universality**: these seven Fundamental Principles sum up the Movement’s ethics and are at the core of its approach to helping people in need during armed conflict, natural disasters and other emergencies.

The Four Universal Principles The government as well as private actors are accountable under the law. The law is clear, publicized, and stable and is applied evenly. It ensures **human rights as well as property, contract, and procedural rights**.