Problem 8: Permutation & Combinations A computer user types using only their left hand. As a result, the sets of characters which are most easily accessible are: C = {q, w, e, r, t, a, s, d, f, g, z, X, C, V, b} N = {1, 2, 3, 4, 5, 6} . S = {!, #,$,%,^} Note that C = 15, N = 6 and S = 6. Count the number of passwords they may easily type (1.e. using symbols from the sets above) which meet each of the criteria sets below. i. password is of length 4 password contains only lowercase characters password is of length 4 or 5 password may contain lowercase characters, numbers and special characters in iii. password is of length 7 password must contain at least 1 lowercase character, number and special character iv. A new password style, which is more accessible for some users, allows for a single press of all password characters simultaneously. How many passwords are possible if the user must press 3 keys at the same time? The user may any lowercase character or number