Final answer:
To generate a random integer in the range of 16 to 25, use the code 'randGen.nextInt(10) + 16', which adds 16 to a random integer between 0 to 9.
Step-by-step explanation:
The question involves using a random number generator to produce a unique set of integers, which in this context correspond to the enumeration of states or territories. To generate a random integer in the range of 16 to 25 using randGen.nextInt(), you would need to supply a range value that corresponds to the number of possible outcomes. Since the range of 16 to 25 includes 10 possible integers (16, 17, 18, 19, 20, 21, 22, 23, 24, and 25), you would use:
randGen.nextInt(10) + 16
This code generates a random integer from 0 to 9 and then adds 16 to it, resulting in a random integer from 16 to 25.