Math Problem Statement
In how many ways can 12 presents be divided into 4 piles of 3 presents?
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Permutations
Combinations
Partitions
Formulas
Total number of ways to arrange 12 presents: 12!
Number of ways to choose 3 presents for each pile: (3!)^4
Formula for indistinguishable piles: Total ways / (number of rearrangements of piles)
Number of ways to rearrange 4 piles: 4!
Theorems
Factorial
Combination formula
Partitioning objects into indistinguishable groups
Suitable Grade Level
Grades 10-12
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