Math Problem Statement
Determine the number of integers between 1 to 250 that are not divisible by
any of the integers 2,3,5 and 7
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Inclusion-Exclusion Principle
Divisibility
Formulas
|A2 ∪ A3 ∪ A5 ∪ A7| = |A2| + |A3| + |A5| + |A7| - (pairwise intersections) + (triple intersections) - (four-way intersection)
LCM (Least Common Multiple)
Number of integers divisible by n = ⌊250 / n⌋
Theorems
Inclusion-Exclusion Principle
Suitable Grade Level
Grades 10-12
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