# probability

• Jun 1st 2007, 03:48 AM
markoco
probability
We are having a debate in work,found your page and taught you might be
>able to help solve the debate, We have a small lottery in work. There are
>six numbers 1,2,3,4,5,6, We were wondering how many different combinations
>there would be with these numbers. It's a long time since any of us did
>probability
>
>kind Regards
>
>Mark
• Jun 1st 2007, 04:42 AM
Plato
You question is really not clear as to what you mean.
If you want to know how ways to arrange 1,2,3,4,5, &6, then that is (6!)=(6)(5)...(2)(1)=720.
• Jun 1st 2007, 04:56 AM
markoco
question
in the lottery you pick any combination from numbers 1 - 6
• Jun 1st 2007, 05:18 AM
topsquark
Quote:

Originally Posted by markoco
in the lottery you pick any combination from numbers 1 - 6

What we need to know is how many times do you pick the numbers? 5 times? 6 times?

-Dan
• Jun 1st 2007, 05:20 AM
markoco
we get 3 picks
• Jun 1st 2007, 05:21 AM
Soroban
Hello, Mark!

Quote:

We have a small lottery in work.
There are six numbers 1,2,3,4,5,6.
We were wondering how many different combinations there would be.

Since you didn't give us the exact rules of your lottery,
. . I'll have to guess what they are.

One possible lottery:

[1] We pick a six-digit number using {1,2,3,4,5,6}.
. . .Digits may be repeated.

[2] One of the six-digit numbers is randomly chosen as the winner.

In this scenario, there are: \$\displaystyle \,6^6 = 46,656\$ possible six-digit numbers.

Another possible lottery:

[1] We pick a six-digit number using {1,2,3,4,5,6}.
. . .Digits may not be repeated.

[2] One of the six-digits number is randomly chosen as the winner.

Then there are: .\$\displaystyle 6! = 720\$ possible six-digit numbers.

• Jun 1st 2007, 05:27 AM
markoco
sorry should have been more specific, numbers can't be repeated so 6!=720,

Thanks

Guys.
• Jun 1st 2007, 05:47 AM
Plato
Quote:

Originally Posted by markoco
we get 3 picks

If each person gets to pick 3 different numbers from one to six then there are (6)(5)(4)=120 ways for each person to pick his/her numbers.
• Jun 1st 2007, 06:00 AM
markoco
sorry guys let me clarify it. we pick 6 numbers in any order, numbers can't be repeated.

the numbers I chose for the lottery are

3,2,6,4,5,1
1,3,6,5,2,4
5,3,4,1,6,2