Bunuel wrote:

A team is composed of exactly 4 executives and 3 associates. How many such teams can be formed?

(1) If two fewer executives were available for selection there would be an equal number of executives and associates available for selection.

(2) If two more associates were available for selection exactly 10 different teams of 3 associates could be selected.

let e and a be the original number of executives and associates available for selection.

Stmt 1- e-2 = a

We cannot infer e and a to calculate the number of teams. Insufficient.

Stmt 2- (a+2) C 3 = 10. Can find the value of a, but not e. Insufficient.

Using both Stmt 1 and 2, we can find values of e and a. So, we can calculate the number of teams formed. Sufficient.

Ans C.