Question

Della bought a custom charm bracelet with eight charms. If the bracelet has no clasp, in how many ways can she arrange the charms on the bracelet? please show all the work.

Answer 1

8!=8*7*6*5*4*3*2*1=40320 arrangements

She the option of putting any of the 8 charms in the first position, and then she has the option of putting any of the 7 remaining charms in the second position, , and then she has the option of putting any of the 6 remaining charms in the second position, etc.