In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French?

In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French? Correct Answer 3

The number of students studying Latin or French n(LUF) = 15 - 3 = 12 Now,  n(LUF) = n(L) + n(F) - n(LꓵF) or,   n(LꓵF) = n(L) + n(F) - n(LUF) = 7 + 8 - 12 = 3
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