Part 1
1)) An electronics company is about to launch a new product. If the serial numberfor each piece produced has the followingformat: LLNNN where L stands for anyletter in the English alphabet and N is a number from 0 to 9, please answer the
following:a) What is the name of the counting rule used to find all the possible outcomes?b) How many different items can be uniquely numbered?2)  A company needs to select an expert group of consultants to provide advice
for a given project. How many possible selections consisting of 2 project managers, 2
legal advisors, 4 computer scientists and 3 systems engineers can be selected if the
company can pick from 4 project managers, 7 legal advisors, 5 computer scientistsand 6 systems engineers? Think carefully about the counting rules involved before
attempting to do any calculations.
3)  Consider that you are a line manager in your current Corporation. There is a0.50 probability that you will be promoted this year. There is a 0.65 probability thatyou will get a promotion or a raise. The probability of getting a promotion and a raiseis 0.35. (Use letter P to denote promotion and letter R to denote raise.)a. If you get a promotion, what is the probability that you will also get a raise?b. What is the probability that you will get a raise?