Answer:
56 shirt-and-tie outfits.
Step-by-step explanation:
We have been given that for each of 8 colors, you have one shirt and one tie of that color. We are asked to find the total shirt-and-tie outfits, if you refuse to wear a shirt and a tie of the same color.
Since you refuse to wear a shirt and a tie of the same color, so for each tie you will have 7 shirts and that will make 7 outfits.
Similarly, for 8 ties, you will have 7 shirts and that will make [tex]8\times 7=56[/tex] outfits.
Therefore, you can make 56 shirt-and-tie outfits, if you refuse to wear a shirt and a tie of the same color.
