Answer:
24
Step-by-step explanation:
The given scenario is a permutation problem. The number of ID codes could be created using permutation because there is no repetition and so order is important. There are four prime numbers that are {2,3,5,7}. So, number of ID codes could be created is calculated using nPr.
Here n=total prime numbers=4
r=chosen number=3.
So,nP4=4P3=4!/(4-3)!=4!=24. Hence there are 24 ID codes that could be generated.
