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In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?
Correct Option: A
n(f \(\cap\) v) + n(f) + n(v) + n(f \(\cap\) v) = 46

3 + 19 + 23 + x = 46

22 + 23 + x = 46

45 + x = 46

x = 46 - 45

x = 1