So, for three events this principle becomes, This principle can be extended to any finite number of events in the same way. “ If an event can occur in m different ways, following which another event can occur in n different ways, then the total number of occurrences of the events in the given order is m×n. Thus, understanding the above example we can say that the Fundamental Principle of Counting is stated as, In this article, we will learn about the fundamental principle of counting, multiplication rules, addition rules, and others in detail. So the fundamental principle of counting helps us to solve various problems of permutation and combination and helps us to make informed choices from all the available choices. Now the total choices for the pin are 10 × 10 × 10 = 1000 which is much simpler to calculate than to count all possible combinations. for the first place we have 10 different choices from 0-9, similarly for the second place we have 10 choices, and for the third place we have 10 choices. But using the fundamental principle of counting we can find the total number of possible combinations of the pins in a much simpler way, i.e. Thus, there are a total of 1000 pin combinations. Suppose we have to guess the pin of a three-digit code so the number of ways we can guess is 1000 this can be seen as the pin can be, 000, 001, 002, …., 999 any number between 000, and 999 including both numbers. Role of Mahatma Gandhi in Freedom Struggleįundamental Principle of Counting is the basic principle that helps us to count large numbers in a non-tedious way.
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