A survey of 500 farmers showed that of the​ farmers, 121 grew only​ wheat, 110 grew only​ corn, 91 grew only​ oats, 199 grew​ wheat, 63 grew wheat and​ corn, 51 grew wheat and​ oats, and 183 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 exa

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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A survey of

500

farmers showed that of the​ farmers,

121

grew only​ wheat,

110

grew only​ corn,

91

grew only​ oats,

199

grew​ wheat,

63

grew wheat and​ corn,

51

grew wheat and​ oats, and

183

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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