Twenty-Three Students, of Whom Ten Are Seniors, Are Selected as Semifinalists

Multiple Choice

Twenty-three students, of whom ten are seniors, are selected as semifinalists for a literary award. Of the twenty-three students, thirteen finalists will be selected. In how many ways can the thirteen finalists contain at least four seniors?

A) 1,040,754
B) 474,474
C) 1,106,105
D) 1,098,669
E) 834,834