It the n objects in a permutations problem are not all distingushable-hat is, 4 there are n, of type 1, n, of type The number of possible permutations is 2, and so on, for r dferent types-then the number of distinguishable permutations is given by ny Iny How many permutations are possible using the 6 letters in the word KANSAS?
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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