Math Problem Statement

if x,y,z,w are all integers greater than-4, how many solutions exist to the equation x + y + z + w = 1?

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Stars and Bars Method
Integer Solutions
Substitution

Formulas

Combination formula: C(n + r - 1, r - 1)

Theorems

Stars and Bars Theorem

Suitable Grade Level

Grades 10-12