Find the number of ways in which 12 different beads can be arranged to form a necklace.

Explanation

To solve the problem of arranging 12 different beads to form a necklace, we need to consider the properties of circular arrangements and the fact that necklaces can be flipped.

### Step-by-Step Solution:

1. **Understanding Circular Permutations**:
When arranging \( n \) distinct objects in a circle, the number of arrangements is given by \((n-1)!\). This is because one object can be fixed to account for the circular nature of the arrangement.

For our case with 12 different beads, the number of circular arrangements is:
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