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In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55 candidates offered Physics. If 35 offered Mathematics and English, 40 offered English and Physics, 25 offered Mathematics and Physics, and 15 offered all three subjects, how many candidates sat the examination?

In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55 candidates offered Physics. If 35 offered Mathematics and English, 40 offered English and Physics, 25 offered Mathematics and Physics, and 15 offered all three subjects, how many candidates sat the examination?

Algebra & Trigonometry with Analytic Geometry
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 37E
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B. In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55 candidates offered Physics. If 35 offered Mathematics and English, 40 offered English and Physics, 25 offered Mathematics and Physics, and 15 offered all three subjects, how many candidates sat the examination?
Transcribed Image Text:B. In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55 candidates offered Physics. If 35 offered Mathematics and English, 40 offered English and Physics, 25 offered Mathematics and Physics, and 15 offered all three subjects, how many candidates sat the examination?
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