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 a 3 member committee which must have at least one French teacher, how many different committees are possible?
The official answer is 100.
I know that to determine the total possible number of committee combinations I would do the following:
10!/3!7! to get a total of 120 combinations. I don't know how to limit this number to include a French teacher in each group.
Thanks for your help in advance!
The official answer is 100.
I know that to determine the total possible number of committee combinations I would do the following:
10!/3!7! to get a total of 120 combinations. I don't know how to limit this number to include a French teacher in each group.
Thanks for your help in advance!
