10 different bracelets have 3 identical orange beads, 3 identical black beads, and 1 teal bead, if rotating or flipping a bracelet does not change it
Permutations and combinations are the many methods for picking objects from a set to form subsets, usually without replacing them. When the order of selection is a factor, this selection of subsets is known as a permutation; when the order of selection is not a factor, this selection of subsets is known as a combination.
I think it is only 10 ways.
Put the teal bead on first. It is the marker bead. This takes care of the rotation aspect.
Then you have 2 lots of 3 identical beads. so that is 6!/(3!3!) ways to place them. Which is 20 ways.
But the bracelet can be flipped so I think this will halve the number of possibilities
For instance TOOOBBB is the same as TBBBOOO
So I think the answer is 10 ways.
learn more about permutation and combination here :
brainly.com/question/28720645
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