You can put this solution on YOUR website! .
How many ways can 7 beads be placed on a bracelet with no claps?
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I assume that it is the same (or similar) as to place 7 persons around a circular table.
The answer is (7-1)! = 6! = 1*2*3*4*5*6 = 720.
For 7 items, there are 6! distinguishable circular permutations.
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To see many other similar (and different) solved problems, look into the lesson
- Persons sitting around a circular table
in this site, and learn the subject from there.
Precisely THIS given problem was solved there, TOO. See problem 6 of that lesson.