Short Answer 
The bracelet consists of a repeating bead pattern of 1 big bead followed by 2 small beads, repeating 5 times with 5 big and 10 small beads. The total arrangements of beads can be calculated by multiplying the permutations of the big beads (5!) and the small beads (10!), resulting in a total of 5! ‚ãÖ 10! arrangements.
Step 1: Understand the Bead Pattern
The bracelet follows a specific pattern that consists of alternating beads: 1 big bead followed by 2 small beads. This creates a repeating sequence labeled as BSS (where B is for big and S is for small). Since we have a total of 5 big beads and 10 small beads, this pattern will repeat exactly 5 times throughout the bracelet.
Step 2: Arrangement of Big and Small Beads
To find the number of arrangements, we need to consider the two types of beads separately. First, the 5 big beads can be arranged among themselves in 5! different ways since each big bead is a different color. Meanwhile, the arrangement of the 10 small beads will also be 10!, as they are all distinct as well.
Step 3: Calculate the Total Arrangements
The total number of unique arrangements of the beads in the bracelet can be calculated by multiplying the arrangements of big beads and small beads together. Therefore, the total number of ways to arrange the beads is given by the formula 5! ‚ãÖ 10!. This final step results in the complete calculation for forming the bracelet with the specified pattern.