24
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 24 • EF Math 12 1st Nine Weeks

You want to create an ID code for students at your school using 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. Characters may be repeated. Would using a list or tree diagram be a practical way to determine how many different codes are possible? Why or why not?

Answer
A
Yes, we have all the information we need
B
Yes, this is one way to find the answer
C
No, since there are too many choices
D
No, we don’t have all the information we need

Explanation

A list or tree diagram would require tracking 26 choices for the first letter, 26 for the second, and 9 for the digit. That creates 26 × 26 × 9 = 6,084 possible codes, which is too many to list or draw practically. The best choice is “No, since there are too many choices.”

AI-written and checked against the verified answer.

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