5. The following are examples of license plate numbering systems in several different states: The plates listed are examples of the first plate California 1ABF234 Georgia ABC1230 Maryland 1AB2345 Find how many license plates numbers are available for each state. Which state has the most? possible license plate numbers?
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.
5. The following are examples of license plate numbering systems in several different states: The plates listed are examples of the first plate
California 1ABF234
Georgia ABC1230
Maryland 1AB2345
Find how many license plates numbers are available for each state. Which state has the most? possible license plate numbers?
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