The answer you have is good. You don't need to change anything.
Answer:
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hopefuly this helped if not let me know!
There are 120 different combinations.
There are 5 to use for the first bead; then after it is used, 4 for the second; 3 for the third; 2 for the fourth; and 1 for the fifth and last bead:
5*4*3*2*1 = 120.