^{3}√M] is equal to the product of the digits of M.

(B) Determine the probability that for the value of a duodecimal (base 12) positive integer N drawn at random between 11(duodecimal) and 10,000(duodecimal) inclusively, the duodecimal number [√N] - [

^{3}√N] is equal to the product of the digits of N.

(C) Determine the probability that for the value of a hexadecimal (base 16) positive integer P drawn at random between 11(hexadecimal) and 10,000(hexadecimal) inclusively, the hexadecimal number [√P] - [

^{3}√P] is equal to the product of the digits of P.

__Notes__:

(i) None of M, N and P can contain any leading zero.

(ii) [x] denotes the greatest integer ≤ x.