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HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03 Question 25

HKIMO · HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03

Question 25

Integers a,b,c,d are greater than 3. How many solution tuples $(a,b,c,d)$ satisfy $a+b+c+d=21$?

Counting convention: (a,b,c,d) is an ordered tuple of named coordinates.