The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 24?
There are: 4! ==24 such numbers
1234 1243 1324 1342 1423 1432 2134 2143 2314 2341 2413 2431 3124 3142 3214 3241 3412 3421 4123 4132 4213 4231 4312 4321 Total = 24
