A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits

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'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