Math Problem Statement

Using the digits one through six to create a three digit combo putting two numbers together then a single number what are the possibilities

Solution

Using the digits 1 through 6, let's form all possible three-digit combinations structured as "two-digit number + single-digit number."

  1. The two-digit number can range from 10 to 65 (since we’re only using digits 1 through 6 and cannot repeat them within a combination).
  2. The single-digit number can be any remaining unused digit from 1 to 6.

Let's list all possible combinations:

  1. 10 + {1, 2, 3, 4, 5, 6} → skip using 1 and 0 separately

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Permutations

Formulas

nPr = n! / (n - r)! for permutations without repetition

Theorems

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Suitable Grade Level

Grades 5-7

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