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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,
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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