SOLUTION: A car license plate contains five letters, followed by two digits. How many different plates can be made if no two letters can be the same, if the letters I and O cannot be used, a
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Question 1197686: A car license plate contains five letters, followed by two digits. How many different plates can be made if no two letters can be the same, if the letters I and O cannot be used, and if the first of the two digits cannot be the number 0? Answer by greenestamps(13200) (Show Source):
# choices for the first letter: 24 (can't use I or O)
# choices for the second letter: 23 (can't be I or O, and must be different than the first)
# choices for the third letter: 22 (can't be I or O, and must be different than the first and second)
# choices for the first digit: 9 (can't be 0)
# choices for the second digit: 10 (no restrictions)
By the fundamental counting principle, the number of possible license plates is the product of the numbers of choices for each character.
