Permutations COURSE 2 LESSON 12-6 Find the number of permutations of the letters T, I, G, E, and R. Use the counting principle. 5  4  3  2  1 = 120 first letter second third fourth fifth There are 120 different permutations. 12-6

Permutations COURSE 2 LESSON 12-6 How many different ways can you arrange a nickel, a dime, a penny, and a quarter in a row? 4! = 4  3  2  1 = 24 ways to place coins first coin second third fourth You can make 24 different arrangements of the coins. 12-6

Permutations COURSE 2 LESSON 12-6 Find the number of permutations for the blue, red, and green ribbons for 12 horses at a show. There are 12 possible horses that can win the blue ribbon. After that, there are 11 horses that can win the red ribbon. Finally, there are 10 horses that can win the green ribbon. 12  11  10 = 1,320 blue ribbon red green Use the counting principle. There are 1,320 different ways that horses could win blue, red, and green ribbons. 12-6

Permutations COURSE 2 LESSON 12-6 1. Find the number of permutations for the letters A, B, C, and D. 2. Find the value of 5!. 3. Write the number of permutations in factorial form of the letters U, N, I, T, E, and D. 4. Find the number of three-letter permutations of the letters E, N, O, U, G, and H. 24 120 6! 120 12-6