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How many automobile license plates can be made, if each plate contains two different letters followed by three different digits ? |
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Answer» Correct Answer - 15552 There are 26 English alphabets and 10 digits (0 to 9). Since, it is given that each plate contains two different letters followed by three different digits. `therefore` Arrangement of 26 letters, taken 2 at a time `= .^(26)P_(2)` `=26xx25` =650 And arrangement of 10 digit taken three at a time `= .^(10)P_(3)` `=10xx9xx8` =720 `therefore` Total number of license plates `=650xx720=468000` |
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