A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible? Choose the correct choice from the following answers.
A) 140	B) 180	C) 220	D) 260	E) 300
student government + the student advisory board consists of  9 + 8= 
<gadget id="calculator"> 9 + 8</gadget>
<output>17</output>
17 members.   5 students hold membership in both, so they were counted twice.   The total number of people to choose from is 17 - 5= 
<gadget id="calculator">17 - 5</gadget>
<output>12</output>
12   The number of ways to choose 9 members from 12 is 122209= 220   The answer is 220.
<result>C</result>
A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible?