0≦x≦k 0≦y≦k y≦-x+n y≧-x+n-k n/3≦k

Mathematics

Senior High

over 9 yearsago

0≦x≦k
0≦y≦k
y≦-x+n
y≧-x+n-k
n/3≦k<n/2
この領域の格子点の数の求め方を教えて下さい
文字はどれも0以上の整数です
一応模範解答は
(3k-n+2)(3k-n+1)/2(3k-n)!
となっています

格子点

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