SOLUTION: Hi, I have a math problem that almost no one in my class can solve: How many multiples of 3 between 100 and 1000 can be formed from the digits 1, 4, 5, 6, and 8? Please answe

Algebra ->  Permutations -> SOLUTION: Hi, I have a math problem that almost no one in my class can solve: How many multiples of 3 between 100 and 1000 can be formed from the digits 1, 4, 5, 6, and 8? Please answe      Log On


   

Question 604720: Hi, I have a math problem that almost no one in my class can solve:
How many multiples of 3 between 100 and 1000 can be formed from the digits 1, 4, 5, 6, and 8?
Please answer, and thanks!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if a number is a multiple of 3, then the sum of the digits is a multiple of 3

three digits can be arranged 6 different ways

find the 3-digit groups that sum to a multiple of 3, then multiply the number of groups by 6


helpful hint ___ there are 10 different ways to select a group of 3 from a group of 5