Each of the 50 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 17 students sign up for the poetry club, 24 students for the history club, and 22 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?  Select
A) 5 B) 6 C) 7 D) 8 E) 9
The total number in the three clubs is 17+24+22= 
<gadget id="calculator">17+24+22</gadget>
<output>63</output>
63.   All 50 students signed up for at least one club.   3 of those students signed up for exactly one more club.   63 - 53= 
<gadget id="calculator">63 - 53</gadget>
<output>10</output>
10 so 5 students must have signed up for exactly three clubs.   The answer is 5.
<result>A</result>
Each of the 50 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 17 students sign up for the poetry club, 24 students for the history club, and 22 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?