Geometry

Question Analysis
This question involves calculating the number of permutations of a subset of distinct objects.
The main focus is on applying the permutation formula to a real - world problem of creating a bracelet with a specific order of beads.

Key Concept Explanation
The permutation formula is used to find the number of ways to select and arrange distinct objects out of distinct objects.
In this case, since the order in which the beads are strung matters, we use the permutation formula rather than the combination formula.

Step - by - Step Solution
Here, (the total number of colored beads) and (the number of beads to be used for the bracelet).
We start with the permutation formula .
First, calculate the factorial values:
The factorial of a number , denoted as , is the product of all positive integers from 1 to .
So, which is , and

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