Answer following counting questions. How many permutations of the seven letters A, B,C,D,E, F,G are there? a) low many permutations of the seven letters A, B, C, D, E, F, G have the two vowels before the five consonants? b) Find the number of subsets of S = { 1, 2, 3, , 10) that contain exactly five elements, all of them even. In how many ways can you get a committee of 4 freshmen and 3 sophomores when you have a class with 30 students 10 freshmen, 12 sophomores, and 8 juniors. Using the ordinary alphabet and allowing repeated letters, find the number of words of length 8 that begin with L or end with R. d) e)