Question

find 3 digit number abc where abc=a!+b!+c!

Answer 1

Answer:

If ABC = A! + B! + C! ;

Then C must be 5

And others, A = 1 and B = 4

Thus 1! + 4! + 5! = 145

Hence, 1 + 4 + 5 = 10

IMO ans is C.

Answer 2

If ABC = A! + B! + C! ;

Then C must be 5

And others, A = 1 and B = 4

Thus 1! + 4! + 5! = 145

Hence, 1 + 4 + 5 = 10

IMO ans is C.