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VTMO 2026 - Grade 6 - Semifinal - SET 4 - Self-study Question 25

VTMO · VTMO 2026 - Grade 6 - Semifinal - SET 4 - Self-study

Question 25

Let $A=\{1,2,3,4,5,6\}$. How many subsets of $A$ contain at least two elements and have the property that every element is a multiple of the smallest element of that subset? For example, $A_1=\{2,4\}$ and $A_2=\{1,2,3\}$ satisfy the condition.

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