dion's grandmother is making a quilt using four small squares put together to form one large large square block. how many different can she make using one each of red, green, blue, and yellow smalle squares? show the possible arrangements

please answer my question

PLEASE!!!

24 To find the number of possible arrangements, we need to consider the total number of squares and the number of each color available.

Since the quilt is made up of four small squares put together to form one large square block, there will be a total of four small squares in each arrangement.

Now, let's consider the number of each color available - red, green, blue, and yellow. We have one of each color, meaning we have a total of four different colors.

To calculate the number of different arrangements, we can use the concept of permutations. A permutation is the number of ways to arrange a set of objects in a specific order.

In this case, we have four small squares and four different colors. Therefore, the number of different arrangements can be calculated as:

4! = 4 × 3 × 2 × 1 = 24.

So, Dion's grandmother can make a total of 24 different arrangements using one each of the red, green, blue, and yellow small squares.

Now, let's show the possible arrangements:

1. Red, Green, Blue, Yellow
2. Red, Green, Yellow, Blue
3. Red, Blue, Green, Yellow
4. Red, Blue, Yellow, Green
5. Red, Yellow, Green, Blue
6. Red, Yellow, Blue, Green
7. Green, Red, Blue, Yellow
8. Green, Red, Yellow, Blue
9. Green, Blue, Red, Yellow
10. Green, Blue, Yellow, Red
11. Green, Yellow, Red, Blue
12. Green, Yellow, Blue, Red
13. Blue, Red, Green, Yellow
14. Blue, Red, Yellow, Green
15. Blue, Green, Red, Yellow
16. Blue, Green, Yellow, Red
17. Blue, Yellow, Red, Green
18. Blue, Yellow, Green, Red
19. Yellow, Red, Green, Blue
20. Yellow, Red, Blue, Green
21. Yellow, Green, Red, Blue
22. Yellow, Green, Blue, Red
23. Yellow, Blue, Red, Green
24. Yellow, Blue, Green, Red

These are the 24 possible arrangements that Dion's grandmother can make using one each of the red, green, blue, and yellow small squares.