SOLUTION: A car license plate contains six letters followed by three digits. How many different plates can be made if no two consecutive letters can be the same, if the letters I and O canno
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Question 1208692: A car license plate contains six letters followed by three digits. How many different plates can be made if no two consecutive letters can be the same, if the letters I and O cannot be used, if the number 0 cannot be the first digit, and if the three digits must all be different?
Choose the 1st letter 24 ways. Not I or O
Choose the 2nd letter 23 ways. Not I or O or the 1st letter.
Choose the 3rd letter 23 ways. Not I or O or the 2nd letter.
Choose the 4th letter 23 ways. Not I or O or the 3rd letter.
Choose the 5th letter 23 ways. Not I or O or the 4th letter.
Choose the 6th letter 23 ways. Not I or O or the 5th letter.
Choose the 1st digit 9 ways. Not 0
Choose the 2nd digit 9 ways. Can be 0 but not the 1st digit.
Choose the 3rd digit 8 ways. Can be 0 but neither the 1st nor the 2nd digit.
Edwin
