- Combinatorics deals with combinations of objects from a specific finite set. These restrictions can be in terms of repetition, orther, or a different criterion.
- Use Permutations, Variations and Combination to do the Number of favourable outcomes or Number of all elements in a sample space.
- Permutations represents the number of different possible ways we can arrange a set of elements. These elements can be digits letters objects or even people. Pn = n!
- n! -> the product of the natural numbers from 1 to n.
- Variations express the total number of ways we can pick and arrange some elements of a given set.
- When do we use Variations instead of Permutations? — When we are not arranging all elements in the sample space.
- Combinations represent the number of different ways we can pick certain elements of a set.
- A combination can be a mixture of different smaller individual events.
- Independent events: The likelihood of two independent events occurring simultaneously equals the product of their individual probabilities.
- C = V / P
Probability
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