jillian has three different bracelets (x, y, and z) to give to her friends as gifts in any order she…
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?\no 1\no 2\no 3\no 4
Answer
Explanation:
Step1: Fix first - bracelet
Since bracelet Y is chosen first, we only need to arrange the remaining two bracelets.
Step2: Calculate arrangements of remaining
The number of ways to arrange 2 different objects is given by the permutation formula $P(n,r)=\frac{n!}{(n - r)!}$, where $n = 2$ and $r=2$. Here, $P(2,2)=\frac{2!}{(2 - 2)!}=\frac{2!}{0!}=\frac{2\times1}{1}=2$. The two arrangements are Y - X - Z and Y - Z - X.
Answer:
2