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

Question

Adam Frye

Mathematics

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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Answers (1)

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Kasen Conrad · Answer 1

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.