permutations and combinationsunit 6.1 #1,2,3

1 . A children's song has seven notes in its first line, GAGFEFG. Assume all seven notes are held for the same length of time. If the notes are rearranged at random, how many melodies could be composed? A. 7 B. 420 C . 2940 D. 5 040 Hint: The fundamental counting principle or permutations with repetitions can be used. 2. A graduation banquet company offers a choice of 4 appetizers, 3 salads, 4 entrees, and 2 desserts. How many meal options are available if one item from every category makes up a meal? A. 13 B. 72 C. 96 D. 6912 Hint: The fundamental counting principle or a tree diagram can be used. 3. Which of the following would be an appropriate method for finding the number of ways of arranging the letters in the word AIRDRIE? A. 7! 7! B. (2) 7! C. 2!2! D. 2!2!1!1!1! Hint: The fundamental counting principle or permutations with repetitions can be used