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20 April, 07:14

You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. If repeat letters are allowed, how many such codes are there? (Use the multiplication principle.) a. 2106 different codes b. 6084 different codes c. 61 different codes d. 44 different codes

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  1. 20 April, 07:42
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    It is a well-known fact that there are 26 letters in the alphabet. For the three character code, the number of ways in which the code can be formed is,

    26 x 26 x 9

    which is equal to 6084.

    Therefore, there are 6084 ways in which the code can be formed, the answer is letter B.
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