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Say we form a state which has the following requirements for license plates. The license plate...

Say we form a state which has the following requirements for license plates. The license plate consists of six characters. The first character must contain a digit with the exception of 0 or 1. The following three characters must contain a letter from the English alphabet with the exception of the first and the last letter being an O. The last two characters can be either a digit, a heart, a spade, a club or a diamond. However, repetition is not allow ONLY for the last two characters. How many license plate are available?

math   Statistics-And-Probability   
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Answer #1

The number of license plates available is computed here as:

= Number of ways to choose one of the 8 digits (except 0 and 1) for the first character * Number of ways to choose one of the 25 remaining letters as the second character * Number of ways to select one of the 26 letters as the third character * Number of ways to select one of the 25 letters ( except O) for the fourth character * Number of ways to select one of the 14 characters as the fifth character * Number of ways to select one of the 13 remaining characters from for the 6th character

= 8*25*26*25*14*13

= 23660000

Therefore 23660000 is the number of license plates possible here.

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