A car dealer has 40 cars, each of which is white, red, or blue in color, and large, middle, or small in model. How many white large cars does he have?

1. All the red and blue cars are either middle or small, and make a total of 19.

2. The number of large cars is more than the number of the middle and small cars combined.

A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient

Correct answer appears to be C but I can't see how.

If all red and blue cars are either middle or small and make a total of 19, that means that all large cars are white, but there could be middle or small white cars also as far as I understand.

If the number of large cars is more than the number of the middle and small cars combined, it means than large cars could be either 20 (L + M/S) or 21 (L).

So far, I'd say E.

Any insight?