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Bunuel
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formula: Set A+ Set B + Neigther - both = total
As per question :
A+B + neigther- C = D
therefore : Neither = D- A-B+C
Answer Option E
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Bunuel
D students are enrolled in classes at the New York Art Institute. A are registered for painting, B have registered for ceramics, and C have registered for both painting and ceramics. How many have signed up for NEITHER painting nor ceramics?

A. A + C - B - D

B. D + A + B - C

C. D + C - A + B

D. D + C + A + 8

E. D - A - B + C
Solution:

We can use the formula

Total = Set A + Set B - Both + Neither

Using the information in the problem, we can create the equation:

D = A + B - C + Neither

D - A - B + C = Neither

Answer: E
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