1986 AJHSME Problem 3

The smallest sum one could get by adding three different numbers from the set \{ 7,25,-1,12,-3 \} is

\text{(A)}\ -3 \qquad \text{(B)}\ -1 \qquad \text{(C)}\ 3 \qquad \text{(D)}\ 5 \qquad \text{(E)}\ 21

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.