A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen?
Choose the correct choice: A) 119 B) 1,200 C) 3,240 D) 3,600 E) 14,400
To meet the conditions we can have only 2 cases:   2 officers and 3 civilians: C25∗C39=840   3 officers and 2 civilians: C35∗C29=360   Total: 840+360=1,200.   Answer: 1,200.
<result>B</result>
A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen?