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
2 answers
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The answer is 24.
One way to solve:
For each color, there are 6 possible ways Deon's Grandma can arrange the smaller squares:
1. R G B Y
2. R G Y B
3. R B G Y
4. R B Y G
5. R Y B G
6. R Y G B
So 4 x 6 = 24.
Another way to solve is to use permutations: 4P4 = 4! = 4 x 3 x 2 x 1 = 24
One way to solve:
For each color, there are 6 possible ways Deon's Grandma can arrange the smaller squares:
1. R G B Y
2. R G Y B
3. R B G Y
4. R B Y G
5. R Y B G
6. R Y G B
So 4 x 6 = 24.
Another way to solve is to use permutations: 4P4 = 4! = 4 x 3 x 2 x 1 = 24
1 answer