Use the following to answer questions :
A teacher is going to assign each student a 3-digit code using the digits 0 through 3.
-How many codes are possible if repetitions are not allowed and the code must be less than 200 and divisible by 10?
A) 2
B) 24
C) 12
D) 3

Question

Quizplus · Accepted Answer

For a code to be divisible by 10, it must end in 0. Since the code must be less than 200, it must start with either 0 or 1. However, starting with 0 would not make it a 3-digit number, so it must start with 1. With 1 as the first digit and 0 as the last, there are only 2 choices left for the middle digit (either 2 or 3), making the total number of possible codes 2.

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