Each of the 26 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 11 students sign up for the poetry club, 17 students for the history club, and 15 students for the writing club. If 5 students sign up for exactly two clubs, how many students sign up for all three clubs?	Choose the correct option: A) 2 B) 3 C) 4 D) 5 E) 6
The total number in the three clubs is 11+17+15= 
<gadget id="calculator">11+17+15</gadget>
<output>43</output>
43.   All 26 students signed up for at least one club.   5 of those students signed up for exactly one more club.   43 - 31= 
<gadget id="calculator">43 - 31</gadget>
<output>12</output>
12 so 6 students must have signed up for exactly three clubs.   The answer is 6.
<result>E</result>
Each of the 26 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 11 students sign up for the poetry club, 17 students for the history club, and 15 students for the writing club. If 5 students sign up for exactly two clubs, how many students sign up for all three clubs?