Class Name: WellOrdered
Method Name: numberOf
Parameters: int,int
Returns: int
Implement a class WellOrdered, which contains a method numberOf. The method
takes two ints as parameters: the number of digits, d, and the number base, b.
The method returns an int (base-10) that is the number of positive well ordered
integers with d digits in the base-b number system.
A well ordered integer is an integer in which the digits strictly increase from
left(most significant) to right(least significant). For example 145 is a well
ordered integer. 442 and 445 are not.
In base 16, the digits from smallest to greatest are:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
In any base, b, less than or equal to 16, the digits are the first b of those
above.
Therefore, in base 12, 79B is a well ordered integer of three digits. In base
16, the number 8CDE is a well ordered integer of four digits. E6 is not a well
ordered integer in base 15 (nor in base-16 for that matter...).
The method signature is:
int numberOf(int digits, int base);
Be sure your method is public.
digit and base satisfy:
0 < digit < 5
1 < base < 17
Note:
Any 1 non-zero digit number is well ordered.
Numbers with leading zeroes are not valid. For example, 012 is not a well
ordered number with three digits.
Examples:
-In base 5, the well ordered numbers with 3 digits are:
123
124
134
234
So if digit=3 and base=5, the method should return 4.