Word Play An anagram is a word or phrase that is made by rearranging the letters of another word or phrase. Consider the word "SILENT."
a. How many different arrangements of the letters in this word are possible? Write this number as a factorial. (Hint: First solve a simpler problem to see a pattern, such as how many different arrangements are there of just 2 letters? 3 letters?)
b. If a friend gives you a hint and tells you that an anagram of this word starts with "L," how many different arrangements still remain?
c. Your friend gives you one more hint. The last letter in the anagram is "N." Determine how many possible arrangements remain and then determine the anagram your friend is suggesting.