we decided on a new logo for our brand of shirts.It was to be 3 stripes. How many different logos we make, if we used 3 colors
3x2x1 = 6
sorry,i am still not undrstand
If you have three colors and want to create a logo with three stripes, there are a couple of ways to approach this.
One way to calculate the number of different logos you can make is by using the concept of combinations. In this case, you want to select three colors to create a logo with three stripes, without considering the order of the colors.
To calculate the number of combinations, you can use the formula for combinations: nCr = n! / (r! * (n-r)!), where n is the total number of colors (in this case, 3), and r is the number of colors you want to select (also 3).
Using this formula, you can calculate the number of different logos as follows:
3C3 = 3! / (3! * (3-3)!) = 3! / (3! * 0!) = 3! / (3! * 1) = 3! / 3! = 1
Therefore, with three colors and three stripes, you can create only one unique logo.
Another way to think about this is by visualizing the possibilities. If you list out the three colors (let's call them A, B, and C), you can see that you have the following possibilities for a logo with three stripes: A-B-C, A-C-B, B-A-C, B-C-A, C-A-B, and C-B-A. However, if you rotate or flip the logo, you will notice that the stripes are still in the same order. So, even though there appear to be six possibilities, they are essentially the same logo with the colors in a different sequence.
Therefore, regardless of whether you use the combinations formula or visualize the possibilities, you can create one unique logo with three stripes using three colors.