Find the number of distinguishable permutations of the group of letters. G, A, U, S, S. A.60 B.120 C.30 D.5 E.15

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Find the number of distinguishable permutations of the group of letters. G, A, U, S, S. A.60 B.120 C.30 D.5 E.15

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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do you understand what this is asking?
No not really
okay its asking (basically) how many different ways can you arrange the letters

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Oh ok... so I would multiply 5 by something.. I'm guessing?
you would do 5! which is 5*4*3*2*1
the (!) means factorial
oh ok so basically what ever numbers are after the factorial?
so it would be 120?
yup. :)
There are 13 patients in Dr. Ziglar's waiting room. Dr. Ziglar can see 7 patients before lunch. In how many different orders can Dr. Ziglar see 7 of the patients before lunch? would I multiply every thing from 13 down to 7?
this one i'm not sure.
hmmm ok do you think you could help me with my other question I posted on the left?
i can try
thanks
^ignore
okay my pc i messing up -.-
Answer to the originally posted problem is not 120, but 60. Since you have two "s" you need to divide by to to get 60 DISTINGUISHABLE permutations
Thanks JiLi! Do you think you could help me on my other problem?
Thanks JiLi! Do you think you could help me on my other problem?

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