SOLUTION: 1. how many 6 digit numbers can you make using 1,2,5,6,7,9 2. how many of these 6 digit numbers are divisible by 6

Question 258580: 1. how many 6 digit numbers can you make using 1,2,5,6,7,9
2. how many of these 6 digit numbers are divisible by 6
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
For part (1) There are 6 digits and 6 slots, so we have 6! or 720 ways.
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For part (2) to be divisible by 6, the number must be divisible by 2 and 3.
It turns out that every 6 digit number we create will be a multiple of 3.
Look at our even numbers. We can choose 2 of the 6 or 6c2 = 15. SO the answer to part (2) is 15 ways.
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