While selecting candy for students In his class, Professor Murphy must choose between gummy candy and llcorice nlbs. Gummy candy packets come In four sizes, while packets of licorice nibs come In three. If he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos. If he chooses licorlce nibs, he must choose between red and black. How many cholces does he have? HINT [See Example 2.]
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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