Create a Class called Chapter12.java with public static methods that provide solutions to the following Exercises in the text, but MODIFIED AS DESCRIBED BELOW:

Each requires a recursive method be used, either direct recursion or a recursive helper. 

4. doubleDigits, do NOT use the String Class for this solution.  The largest int we'll use for testing will be just 4 digits, something like:

if (Chapter12.doubleDigits(4321)==44332211) score+=5;

 

12. (modified) isReverse for int's, returns a boolean, and pass int, int NOT STRING, and do NOT use the String Class.

if (Chapter12.isReverse(12345,54321)) score+=5;

 

13. (modified) indexOf for int's, returns effective starting index of the starting occurrence of the second int within the first int (or -1 if not found). So indexOf(123, 4912392) returns 2, just as the text version has indexOf("123", "4912392") returns 2, and indexOf(123, 0) returns -1 for not found.  Do NOT use the String Class, solve using % and/or / and or Math Class methods.

if (Chapter12.indexOf(123,4912392)==2) score+=5;

 

15. permut (return int required) and allow large numbers like permut(52,5) which is the number of ways that 5 items can be selected from a deck of 52 cards.  And NO, I will not allow BigInteger for above, just use int for this Exercise, no long, no double, just plain int math.  The trick is to mathematically avoid doing 52!

if (Chapter12.permut(7,4)==840) score+=5;

 

Looking back, I see no String allowed anyplace in these methods specifications.  The only place I'll allow String here is for the optional String[] args that some will use for main.

Exercises in the text attach

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