Each of the 38 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 12 students sign up for the poetry club, 20 students for the history club, and 19 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?  Choices:
A) 2  B) 3  C) 4  D) 5  E) 6
The total number in the three clubs is 12+20+19= 
<gadget id="calculator">12+20+19</gadget>
<output>51</output>
51.   All 38 students signed up for at least one club.   3 of those students signed up for exactly one more club.   51 - 41= 
<gadget id="calculator">51 - 41</gadget>
<output>10</output>
10 so 5 students must have signed up for exactly three clubs.   The answer is 5.
<result>D</result>
Each of the 38 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 12 students sign up for the poetry club, 20 students for the history club, and 19 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?