1. In a house of 10 people, how rmany ways can a squad of 4 people be arranged? 2. 15 participants have written their names on small sheets of paper for a raffle. Show cifferent ways on how the three names will be chosen. 3. School is over, your family is planning a vacation somewhere outside the city, and your mom is letting you bring your five favorite books. Suppose there are 12 total books (including academic books, history books), how many different ways can you choose the five books?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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