A survey of farmers showed that of the farmers, 126 grew only wheat, 111 grew only corn, 93 grew only oats, 196 grew wheat, 55 grew weath and corn, 48 grew wheat and oats, and 175 grew corn. Determine the number of farmers who  a) grew at least pne of the three b) grew all three c) did not grow any of the three 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 farmers showed that of the farmers, 126 grew only wheat, 111 grew only corn, 93 grew only oats, 196 grew wheat, 55 grew weath and corn, 48 grew wheat and oats, and 175 grew corn. Determine the number of farmers who 

a) grew at least pne of the three

b) grew all three

c) did not grow any of the three

d) grew exactly two of the three

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