Permutations & Combinations
Grade 11
Question:
<p>The number of integral solution(s) of the equation xyz = 360 is 180 m, then m equals:</p>
<p style="display:inline">2</p>
<p style="display:inline">3</p>
<p style="display:inline">1</p>
<p style="display:inline">4</p>
Step-by-Step Solution
Key Concept: Factorize the constant into primes, apply the stars and bars formula to distribute exponents among variables, and multiply by the total valid sign combinations that yield a positive product.
<p>4</p>
Correct Answer: D