Let M=(m_i,j)_1≤i,j≤n be an n×n matrix such that m_i,j=i(i+1)(i+2)…(i+j-2). (Note that m_1,1=1.) What is the determinant of M?

The best solution was submitted by Seungkyun Park (박승균), 수리과학과 2008학번. Congratulations!

Here is his Solution of Problem 2011-12.

Alternative solutions were submitted by 조상흠 (수리과학과 2010학번, +3), 장경석 (2011학번, +3), 김원중 (2011학번, +3), 박민재 (2011학번, +3),   서기원 (수리과학과 2009학번, +3), 김범수 (2010학번, +3), 어수강 (서울대학교, +3),  조위지 (Stanford Univ. 물리학과 박사과정, +3).