Answer:
B. sell a "deep in the money" European style call of the stock
Step-by-step explanation:
The difference between an American style call and a European style call is that the American style can be exercised any time before the expiration date, while the European style call is only exercised at the date of expiration.
The customer in this question, has a pre-defined point in time when he wishes to exit his long stock postion. Therefore he is selling a "deep in the money" European style call of the stock