Suppose each license plate in a certain state has two digits, followed by two letters, followed by two digits. The letters Q and U are not used. So, there are 24 letters and 10 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format? licenseplates
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.
Suppose each license plate in a certain state has two digits, followed by two letters, followed by two digits. The letters
and
are not used. So, there are
letters and
digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?
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licenseplates
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