SOLUTION: Suppose we want to form three-digit numbers using the set of digits {0,1,2,3}. For example, 301 and 223 are such numbers, but 037 is not. How many of these numbers are multiples of

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Suppose we want to form three-digit numbers using the set of digits {0,1,2,3}. For example, 301 and 223 are such numbers, but 037 is not. How many of these numbers are multiples of      Log On


   

Question 1169763: Suppose we want to form three-digit numbers using the set of digits {0,1,2,3}. For example, 301 and 223 are such numbers, but 037 is not. How many of these numbers are multiples of 10?
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Since zero cannot be the high-order digit, there are three ways to choose that one. Then, since duplication is allowed and zero can be used, there are four ways to choose the second digit. If the number is to be divisible by 10, then it must end in zero. Therefore, there are three-digit numbers using the set of digits such that the three-digit numbers are divisible by 10.

John

My calculator said it, I believe it, that settles it

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