Discussion
In the figure given below, triangle represents doctors, circle represents players and square represents artists. Then what is the number of artists who are players only ?
Answer: A
The number of artists who are players only is 14.
Artists are the points inside the square and players are the points inside the circle, so artists who are players are in both. 'Only' excludes the doctors, who are inside the triangle. Reading the regions: 8 lies in the square alone, 13 in the circle alone, 6 in the triangle alone, 5 in the circle and triangle, 3 in all three shapes (an artist who is both a player and a doctor), and 10 and 4 in the circle and square but outside the triangle.
\[ 10 + 4 = 14 \]
The distractors come from counting the wrong regions: 10 alone forgets the 4 region below the triangle, 4 alone forgets the 10 region, and 13 is the circle-only region, which holds players who are neither doctors nor artists.
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