The letters of the word STAR are written on individual cards.If you always choose three cards and then put them back before the next set of three cards, how many different permutations will you have?
List all the different permutations in the space provided.
The word STAR has 4 letters.
When choosing 3 cards at a time and putting them back before the next set, we have 4 options for the first card, 4 options for the second card, and 4 options for the third card.
Therefore, the number of different permutations is 4 x 4 x 4 = 64.
The different permutations are:
1. S T A
2. S T R
3. S T S
4. S T T
5. S A R
6. S A S
7. S A T
8. S R S
9. S R T
10. S S T
11. T A R
12. T A S
13. T A T
14. T R S
15. T R T
16. T S T
17. A R S
18. A R T
19. A S T
20. R S T
(Each permutation can appear multiple times due to the repetition of letters.)