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.
1. Of the twelve chef hats you own, you only have room to pack five. how many different collections of chef hats can you take on vacation?
2. Each individual letter of the word TENNESSEE is aplced on a piece of paper and al 9 pieces of paper are placed in a hat, if one letter is selected at random from the hat. determine the probabilty that the letter T or E is selected?
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