Question 14
The source asks: “Find the ordered set of 4-tuples of positive integers $[w,x,y,z]$ such that $w+x+y+z=21$.”
**Interpretation and response format:** In agreement with the source's numerical answer key, this version asks for the number of ordered quadruples, not a list of all of them. Every entry is at least 1, and changing the order may produce a different quadruple. Enter the integer count only.
**Interpretation and response format:** In agreement with the source's numerical answer key, this version asks for the number of ordered quadruples, not a list of all of them. Every entry is at least 1, and changing the order may produce a different quadruple. Enter the integer count only.