A survey of 500 farmers showed that of the farmers, 125 grew only wheat, 111 grew only corn, 93 grew only oats, 196 grew wheat, 55 grew wheat and corn, 48 grew wheat and oats, and 175 grew corn. Determine the number of farmers who a) grew at least one of the three b) grew all three c) did not grow any of the three and d) grew exactly two of the three

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 15E
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A survey of 500 farmers showed that of the farmers, 125 grew only wheat, 111 grew only corn, 93 grew only oats, 196 grew wheat, 55 grew wheat and corn, 48 grew wheat and oats, and 175 grew corn. Determine the number of farmers who

a) grew at least one of the three

b) grew all three

c) did not grow any of the three and

d) grew exactly two of the three

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