The Hawaiian alphabet (known as the piapa) was first written by19th century missionaries and consists of 12 letters; the vowels A,E, I, O, and U, and the consonants H, K, L, M, N, P, and W.Assuming that all possible arrangements of these letters could bewords:

a) What is the maximum possible number of 6-letter words?

b) How many 9-letter words can start with a W, end with an A,and contain no U’s?

c) How many distinct arrangements are there of the letters inWAIANAPANAPA?

d) What is the maximum possible number of 7-letter words inwhich no letters are repeated?