高中数学问一道组合纯计算题C3(3)+C3(4)+C3(5)+C3(6)…+C3(50)答案等于C4(51),怎么算说下,谢谢!
2019-05-23
高中数学问一道组合纯计算题
C3(3)+C3(4)+C3(5)+C3(6)…+C3(50)答案等于C4(51),怎么算说下,谢谢!
优质解答
C4(4)+C3(4)+C3(5)+C3(6)…+C3(50) =C4(5)+)+C3(5)+C3(6)…+C3(50) =C4(6)+C3(6)…+C3(50) =C4(50)+C3(50) =C4(51) 公式Cm(n)+Cm-1(n)=Cm(n+1)
C4(4)+C3(4)+C3(5)+C3(6)…+C3(50) =C4(5)+)+C3(5)+C3(6)…+C3(50) =C4(6)+C3(6)…+C3(50) =C4(50)+C3(50) =C4(51) 公式Cm(n)+Cm-1(n)=Cm(n+1)