Permutations With Repetition
Permutations With Repetition
Permutations With Repetition
1. In how many ways can the letters of the word REFERENCE be arranged?
2. In how many ways can the letters of the word MISSISSIPPI be arranged?
3. In how many ways can the letters of the word MATHEMATICS be arranged?
5. How many different 5-digit numerals can be written using the following 9 digits?
2, 2, 2, 7, 7, 8, 8, 8, 9
6. How many different 4-digit numerals can be written using the following 10 digits?
1, 3, 3, 4, 4, 5, 5, 6, 6, 9
7. How many different 6-digit numerals can be written using the following 12 digits?
1, 1, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9
8. If there are 4 cans of cola, 3 cans of lemonade, and 5 cans of iced tea in a
cooler, in how many orders is it possible to consume these drinks?
9. A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra
large. If it has 2 small, 3 medium, 6 large, and 2 extra large in stock, in how many
orders can it sell all the shirts?
10. In question 9, suppose the store decides not to sell the extra large shirts. In how
many orders can it sell the remaining shirts?