Question

Hello, I need some help with probalities.

There are 6 numbers: 1,2,3,4,5,6. A six-digit number are made from these numbers (randomly, digits can't repeat), what is the probality that this number will divide by six? There is 6! ways to make a number, right? But I don't know how to find how many numbers can be divided by six?

Answer 1

as the no. will always be divisible by 3 , we have to make sure it is also divisible by 2

Answer 2

\[\frac{3*5!}{6!}\]

Answer 3

So the answer is 1/6?

Answer 4

1/2

Answer 5

I still don't get it :/ Why six digit number will always be divisible by 3?

Answer 6

check for divisibility by 3

Answer 7

the sum of digits will always be a multiple of 3 in whatever way they are arranged

Answer 8

1+2+3+4+5+6

Answer 9

oh,I see now! thanks