In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 4-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ? Choose the correct choice from the following.
A) 174  B) 171  C) 186  D) 196  E) 200
Case 1   1french 3either German or Spanish: 4C1 * 6C3 = 80   Case 2   2french 2either German or Spanish: 4C2 * 6C2 = 90   Case 3   4french 4C4 = 1   Answer is 171 = 171
<result>B</result>
In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 4-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?