Combination / Statistics question

[Lior]

A little math question:

How many options are there for reaching the number 33 by adding with 6 numbers with the digits 0-9?

I mean, one of the options is: 5+5+6+6+8+3
another option is: 6+5+6+5+3+8
another option is: 4+7+2+9+9+2

How many options like these are there in total ?

Thanks.

[DavidHooper]

the way to do this (can;t be bothered myself but hey!) is to express 33 as:

33=111111111111111111111111111111111

then, since you want 6 numbers, use 5x + signs:

33=1+1+1+1+1+1111111111111111111111111111

and find ocmbinations of this. take off the ones that aren;t less than 9 though.

get back to me if need more help/

[jim mcnamara]

I think you want to exclude zero - otherwise there are infinitely many combinations, because you can insert any number of zeroes in the list and not change the sum.

?