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

Explanation:

Step1: Fix first position to Y

First choice: Y (only 1 option)

Step2: List remaining permutations

Remaining bracelets: X, Z. The number of ways to arrange 2 items is $2! = 2$. The valid orders are Y, X, Z and Y, Z, X.

Answer:

B. 2