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 6 students hold membership in both organizations, how many different committee are possible? Choose one
A) 44	B) 55	C) 66	D) 77	E) 88
student government + the student advisory board consists of  9 + 8= 
<gadget id="calculator"> 9 + 8</gadget>
<output>17</output>
17 members.   6 students hold membership in both, so they were counted twice.   The total number of people to choose from is 17 - 6= 
<gadget id="calculator">17 - 6</gadget>
<output>11</output>
11   The number of ways to choose 9 members from 11 is 11C9= 55   The answer is 55.
<result>B</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 6 students hold membership in both organizations, how many different committee are possible?