Each of the 47 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 14 students sign up for the poetry club, 22 students for the history club, and 20 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?	Choose the correct choice from the following:
A) 1
B) 2
C) 3
D) 4
E) 5
The total number in the three clubs is 14+22+20= 
<gadget id="calculator">14+22+20</gadget>
<output>56</output>
56.   All 47 students signed up for at least one club.   3 of those students signed up for exactly one more club.   56 - 50= 
<gadget id="calculator">56 - 50</gadget>
<output>6</output>
6 so 3 students must have signed up for exactly three clubs.   The answer is 3.
<result>C</result>
Each of the 47 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 14 students sign up for the poetry club, 22 students for the history club, and 20 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?