For BinomPDF and BinomCDF we have a distribution that gives you the probability to have some number of successes, the difference is that PDF gives you only one specific number of successes, and the CDF gives you a range of successes probabilities.
Lists are the basic form to find a probability, you have to write all the cases and count the different groups of them, then divide by the total of cases.
NCR and NPR are the classic counting method to reach the number of combinations or permutations that a situation could have, is very useful and very quick to calculate the interest data or the number of combinations that may have a group of cases.