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In a school with 850 students we are given the following information:

i. 285 students are taking Algebra

ii. 365 students are taking PE

iii. 354 students are taking History

iv. 100 students are taking both Algebra and PE

v. 154 Students are taking both Algebra and History

vi. 104 Students are taking both PE and History

vii. The number of students taking none of these courses is equal to the number taking all three.

How many students are taking none of the three courses?

A) 31

B) 52

C) 64

D) 102

E) 204

In a school with 850 students we are given the following information:

i. 285 students are taking Algebra

ii. 365 students are taking PE

iii. 354 students are taking History

iv. 100 students are taking both Algebra and PE

v. 154 Students are taking both Algebra and History

vi. 104 Students are taking both PE and History

vii. The number of students taking none of these courses is equal to the number taking all three.

How many students are taking none of the three courses?

A) 31

B) 52

C) 64

D) 102

E) 204

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