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Question
How many different five-digit number licence plates can be made if
first digit cannot be zero and the repetition of digits is not allowed,
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Solution
(i) Since the first digit cannot be zero, the number of ways of filling the first digit = 9
Number of ways of filling the second digit = 9 (Since repetition is not allowed)
Number of ways of filling the third digit = 8
Number of ways of filling the fourth digit = 7
Number of ways of filling the fifth digit = 6
Total number of licence plates that can be made = 9\[\times\]9\[\times\]8\[\times\]7\[\times\]6 = 27216
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