a.)Are possible in all, if repetitions are allowed? b.)Are possible in all, if repetitions of letters are not allowed but repetitions of digits are allowed? c.)Are possible in which the letter portion of the serial number starts with “MI” or the number portion of the serial number starts with “999”
Work out the answer to each of the counting questions below. State the answer clearly, and show all work or explain your reasoning in words on each. Note: Answers with insufficient explanations or work are not accepted.
Television sets manufactured in a certain facility have a unique serial “number” printed on them. The serial “number” is not actually a number but consists of three letters from the English alphabet (A through Z) followed by ten digits each selected from 0 through 9.
1.)How many serial numbers:
a.)Are possible in all, if repetitions are allowed?
b.)Are possible in all, if repetitions of letters are not allowed but repetitions of digits are allowed?
c.)Are possible in which the letter portion of the serial number starts with “MI” or the number portion of the serial number starts with “999”?
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