If a!=a(a−1)(a−2)(a−3)...1, then find X+Y+Z, given that XYZ is a three digit number such that XYZ=X!+Y!+Z!.
Find the total number of ways in which a 3- digit number xyz can be formed from the digits 1,4,5,6,7,8and9 such x,y,z that are in A.P and x≠y≠z.
If x+y+z=0 then x3+y3+z3 =___?