# How many ways can 1 2 3 5 5 8 be arranged and how many of these numbers could be divided by 15?

just as the title asks how many ways can 1 2 3 5 5 8 be arranged and how many numbers can be divided by 15?

### 6 Answers

- Pi R SquaredLv 71 decade agoFavorite Answer
Hi,

In order to be divisible by 15, a number must end in either 5 or 0, and the sum of all its digits must be divisible by 3. Since 0 was not included in the numbers to be arranged, then 5 must be in the last position. That leaves the other 5 digits to be arranged in 5! ways. This makes 120 distinguishable arrangements of those 6 digits.

120 ways <==ANSWER

I hope that helps!! :-)

- Log in to reply to the answers

- 1 decade ago
To figure out how many ways it can be arranged, it's just 6!. However, since 5 appears twice, it is 6!/2! or 360.

In order for it to be divisible by 15, the last digit has to equal 5 (since 1+2+3+5+5+8=24, and that's already divisible by 3)

From the rest of the digits, it's just 5! or 120.

- Log in to reply to the answers

- M3Lv 71 decade ago
a) the number can be arranged in 6!/2! = 360 ways

b) all numbers ending with 5 will also be divisible by 15

so they will number (2/6)*360 = 120

- Log in to reply to the answers

- 1 decade ago
I think they can be arranged 6! different ways.

- Log in to reply to the answers

- What do you think of the answers? You can sign in to give your opinion on the answer.
- 1 decade ago
well the answer to the first question is.....first you must use a permutation or a combinattion(sorry i forgot which ones which)....which is where you do 1*2*3*4*5*6 because there are six numbers... the second one....ya gotta figure it out!

Source(s): my brain!!!- Log in to reply to the answers

- Anonymous1 decade ago
all i know is that they can be arranged in 36 ways.

i think;;

- Log in to reply to the answers