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Standard automobile license plate in a country display a one digit number, followed by three letters, followed by three one digit numbers. How many different standard plates are possible in this system? Assume repetitions of letters and numbers are allowed. So we can solve this problem using the accounting principle by viewing this as seven independent events. For the first event we would select the first one digit number, followed by three events, so select the three letters, followed by three more events to select the remaining one digit numbers. So lets call this first event D, one. to represent selecting the first one digit number. Lets call the next three events L, one, L, two, and L, three for selecting the letters. And then for the last three events were selecting one digit numbers again. So well call this event D, two, D, three, and D, four. Now if we can determine the number of ways each of these independent events can occur, the product of the number of ways will give us
