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If I have a bucket of 10 unique objects and I pick out 3 samples.

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If I have a bucket of 10 unique objects and I pick out 3 samples. How many total samples are there?

10x9x8 would give me 720 but then for each set there are 5 more possibilities of obtaining the same set I think. Do I just divide by 6 and get 120? Is that right?
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What I'm really asking is what's the best/quickest way to go about solving this?
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If you are looking for the total amount of unique sets with out regard for order, then yes, you divide by 6. This is known as a combination, instead of a permutation, which depends on order as well.

https://en.m.wikipedia.org/wiki/Combination
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10 choose 3 = [math]10 \choose 3[/math] = 120

Look up " probability and combinatorics"
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https://www.mathsisfun.com/combinatorics/combinations-permutations.html


Best
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>>7952785
[eqn]\frac{10!}{(10! - 3!)3!} = 120[/eqn] FTFY
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>>7952772
>no traps
>no triceps

fucking curlbro assassin
>>
>>7952831
except it's (10-3)! and not (10!-3!)

so actually you didn't fix anything, you just ruined something
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>>7952852
Still outputted 120 m9
Thread replies: 9
Thread images: 1

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