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?\n1\n2\n3\n4
Answer
Explanation:
Step1: Fix first - chosen bracelet
Since bracelet Y is chosen first, we only need to consider the arrangements of the remaining two bracelets (X and Z).
Step2: Calculate number of arrangements
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