Fundamental Principles of Counting

The world of mathematics is started with the basic necessary concept of counting and the Fundamental Principle of Counting is one of the most important rules. This Fundamental Principle of Counting is especially used in probability problems. It helps to find out the maximum possible outcomes with the combination of several events of a situation. 

Evolution of Fundamental Principle of Counting

Our ancestors first used fingers and later sticks, beans, beads, and buttons to count. However, later on, they realized that these usual methods of counting aren’t going to help to calculate large numbers. That is when the “Fundamental principle of Counting” was introduced in the mathematics field and it became the most important rule of mathematics, especially in the case of “probability problems”. 

As an interesting subject, Mathematics has many concepts and every concept contains different techniques and methods. While using the method of “Fundamental principle of Counting”, a term arises, that is called “sample space”. This sample space is the “complete set of possible outcomes”. However, an example can disclose the matter properly. While flipping a coin, there is a chance to have two events i.e. “Head or Tail”, these two are the “sample space” for the event. This sample space is a wider part of the Fundamental Principle of Counting. 

Types of Fundamental Principle of Counting

There are some of the resources with some additional facts that are very useful to make the concept of Fundamental Principle of Counting clear are discussed below,

Stable order: As per this concept, a list of words is used to count in a repeatable order. This “Stable” list must belong to the number of items. 

One-to-one Correspondence: According to this concept, each object in a whole group is counted only once. This method is useful for the early stages of children. 

Cardinality: As per this, the last number of the group represents the total number of objectives in the group. 

Conservation: The number after counting a set, group of objects remains unchanged no matter whether the objects are spread out or close together. 

Order Irrelevance: The order through which the items are counted is irrelevant. The counting can be done from right-to-left, left-to-right, top-to-bottom, and bottom-to-top. 

There are some more additional principles such as Abstraction, Subitizing, Hierarchical Inclusion, Movement in Magnitude, and Utilizing amongst all. 

Importance of gaining knowledge in Fundamental Principle of Counting

In regular life, in some cases, this Fundamental principle of counting helps to get a quick result. In the case of statistical data collecting procedures, this concept has a vital role. A vital part of mathematics is admired by the principle of counting. 

Applications of Fundamental Principle of Counting in real life

This Fundamental Principle of Counting rule is used in multiple ways in real life, such as,

• Counting helps to get the whole number of events that can happen and this helps a person to take any decision in respect of that. 
• In the case of “Statistics & Data Analysis”, the Fundamental Principle of Counting is used widely to get the result quickly. 
• At the point when someone has to think between two choices, in that case, they can apply the method of Fundamental Principle of Counting.
• However, when there is an “n” number of dishes, the person can find out the different ways to present these. 

Examples of Fundamental Principle of Counting

To clarify the fact of Fundamental Principle of Counting, here some of the examples are given below:

Suppose a man has 6 T-shirts and 3 pairs of pants. Now the Fundamental Principle of Counting is used to count the total number of possible outfits of the man. 

This event is one of the real-life examples of the Fundamental Principle of Counting. According to the event, the man has 6 T-shirts and 3 pairs of pants. Therefore, the total number of outfits of the man is 6*3 = 18, the man has a total of 18 outfits with him. 

Another example is, a die has 6 faces, here the total number of outcomes of the die is 6 which is considered as “p”. A deck has 52 cards with a total possible outcome of 52, which is considered as “q”. Therefore, here the total number of outcomes at the point where both of the events occur together, is  “p*q = pq” or “6*52 = 312”. 

Conclusion 

This mini elaboration of the concept of the Fundamental principle of Counting is targeted to fascinating the concept of the Principle of counting. This concept of mathematics is started with the basic knowledge of a student to creatively craft a fresh concept. The whole paper shows the way where the Fundamental Principle of Counting was introduced along with the types of this concept. Some real-life examples in respect of this concept are also explained through the paper and the researcher also gives focus on some of the uses of Fundamental Principles of Counting in the regular life of a human being.