there are 14 teachers in a mathematics department. How many 4 person committees can be formed if Mr. G and Mrs. F, 2 of the
14, must be on the committee?
Hello, blame_canada100!
Exactly where is your difficulty?
Since Mr. G and Mrs. F are already on the committee,There are 14 teachers in a mathematics department.
How many 4-person committees can be formed if Mr. G and Mrs. F must be on the committee?
. . we must choose the other two from the remaining twelve teachers.
There are: .$\displaystyle {12\choose2} \:=\:66$ ways.