Math Problem Statement
A research team has 18 variables and wants to form 4 clusters. Each cluster must have at least 3 variables, and no two clusters can have the same number of variables. How many different clustering configurations are possible?
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Permutations
Constraints in Combinations
Formulas
Permutation formula: nPr = n! / (n - r)!
Theorems
-
Suitable Grade Level
Advanced High School
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