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Understanding the Context

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This equals $ 3 imes 81 + 4 imes 9 + 5 imes 1 = 243 + 36 + 5 = 284 $.
Question: How many positive integers less than 50 are multiples of 5 or 7 but not both?
Using inclusion-exclusion, the total is $ 9 + 7 - 2 imes 1 = 14 $.

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