A child selected a three-digit number, XYZ

[askhoman4]

GMAT Prep 2 DS question:
A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number?
(1) The sum of the digits was 10.
(2) X < Y < Z

I tried listing the numbers and this took a while. Can anybody recommend a quick way to solve this?

Thanks in advance!

OA is E.

[kramacha1979]

I'd start w stmt B ..it's lot easier

X<Y<Z .. it can be anything .. 235, 236 ..etc
Not Suff

X+Y+Z = 10
many such numbers 109, 901 ..etc ...Not Suff

2 Stmts together

chose the hundred's digit to be really small maybe 1
then we can play w rest of the 2 digits .to get to 10
136 or 145 .....
Hence again not Suff..
Ans E

[StaceyKoprince]

I like kramacha's thinking. Remember that, for a DS value question, all you have to do is show that there are two possible values to know that a statement is not sufficient. Don't worry about trying to list ALL possible values. Find two and it's not sufficient.