Suppose that a tribal culture was discovered in the South Pacific whose language consists of only fourteen letters, A, E, H, I, K, L, M, O, P, R, S, T, U, and W. Assuming that all possible arrangements of these letters could be words:
a) What is the maximum possible number of 5-letter words that this tribe can have?
b) What is the maximum possible number of 9-letter words the tribe can have in which no letters are repeated?
c) How many 8-letter words can the tribe have that start with a K, end with an I, and contain no L's?
d) How many 16-letter words can the tribe have that contain exactly 2 U's, 5 A's, 4 H's, and 3 M's?