It depends on whether they are being arranged in a line or a circular pattern.
In a line: 15*14*13 = 2730 ways.
In a circular pattern : ABC, BCA and CAB will be the same pattern, only rotated. So the answer is 15*14*13/3 = 910 ways.
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you can arrange three beads 9 different ways.
8
24 ways
362,880 ways
6