Yvette has six beads that she is going to assemble into a bracelet. Two of the six beads have the same color, and the remaining four all have different colors. How many different ways can Yvette assemble her bracelet? (Two bracelets are considered identical if one can be rotated and/or reflected to obtain the other.)
Well, you need to use Combinations to solve this problem. You have 6 items, and you need to choose 2. Therefore, you have \(6 \choose 2\)=15, Thus the answer is \(15\). I hope this is what you were looking for.
Please do not post AoPS questions on this forum. I have made this mistake before, and it did not turn out well.