Do not actually solve the questions. First I need to know what problem it is for example (Binomial probability distribution, NB, PMF, CDF, COMBINATORICS, conditional problem, independence, RV`s, and poisson distribution..etc ) Second please just tell relevant formulas and ideas that would use to solve the questions. ASAP will thumbs up thank you.

The unique letters in one of our student's names are AIKR and for another are GHU. Say you choose and arrange 3 letters from the first student's name AIKR and then choose another 2 letters from the second student's name GHU and arrange them at the end to get a new name. Then how many unique new names can you make (even if they don't make sense!)?