先默认(x,y)x是上脚标,y是下脚标.
A(m,n) = n! / m!
∴A(3,6) = 6*5*4*3*2*1 / 3*2*1 = 6*5*4 = 120
C(m,n) = n! / m!(n-m)! = A(m,n) / (n-m)!
∴C(3,6) = 6*5*4*3*2*1 / 3*2*1*3*2*1 = 120 / 3*2*1 = 20
一般为了方便运算,都是先把分子分母约简再做乘法,这样分母会被约光.
如：C(3,6) = 6*5*4*3*2*1 / 3*2*1*3*2*1 = 6*5*4 / 3*2*1 = 5*4 = 20