Question
Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?
1
2
3
4
1
2
3
4
Answers
GPT-4o mini
If bracelet Y is chosen first, then there are two bracelets remaining: X and Z. Jillian can give out these remaining two bracelets in any order.
The number of ways to arrange two items (X and Z) is calculated by finding the factorial of the number of items, which is:
\[
2! = 2 \times 1 = 2
\]
Therefore, if bracelet Y is chosen first, there are **2 ways** to give out the bracelets.
Thus, the answer is:
\[
\boxed{2}
\]
The number of ways to arrange two items (X and Z) is calculated by finding the factorial of the number of items, which is:
\[
2! = 2 \times 1 = 2
\]
Therefore, if bracelet Y is chosen first, there are **2 ways** to give out the bracelets.
Thus, the answer is:
\[
\boxed{2}
\]