In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?
a) 0
b) 3
c) 4
d) 5
Let A = Latin and B = Greek
n(A or B) = 15 - n(A or B)'
= 15 - 3
= 12
n(A or B) = n(A) + n(B) - n(A and B)
12 = 7 + 8 - n(A and B)
n(A and B) = 3
In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have...
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