Timeline for How many ways can I pick a size $3$ set from $\{1, 2, 3, 4, 5, 6, 7, 7, 7\}$ such that at least one is odd?
Current License: CC BY-SA 4.0
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| Oct 10, 2023 at 16:12 | answer | added | O M | timeline score: 1 | |
| Oct 10, 2023 at 15:58 | history | edited | bob | CC BY-SA 4.0 |
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| Oct 10, 2023 at 15:43 | comment | added | JMoravitz | @OM and others... the question is not about probability.... yet. It is perfectly fine for the problem statement to mention certain objects as being indistinguishable and us treating them that way. It is only when moving to the related probability question which I emphasize again is not the question being asked that we might choose to deviate from that. | |
| Oct 10, 2023 at 15:40 | comment | added | lulu | @Peanutlex. Yeah, I suppose. Feels like bad phrasing to me, but I agree that that's what indistinguishable ought to mean. | |
| Oct 10, 2023 at 15:37 | comment | added | Peanutlex | @lulu The question says the three 7s are indistinguishable which suggest we shouldn't treat them as distinct. | |
| Oct 10, 2023 at 15:35 | comment | added | lulu | As I read it, you are choosing a subset of the cards, not the numbers. Hence the 7's are distinct. I agree it is ambiguous. | |
| Oct 10, 2023 at 15:34 | comment | added | JMoravitz | Be warned that your final answer does not translate easily to a probability, though the approach certainly does. If we were to talk about the probability of such an occurrence, even though the sevens are indistinguishable in reality, since they occupy different positions in space the most natural thing to do is to assume they are in fact distinguishable which leads to $\binom{9}{3}$ equally likely outcomes, again only one of which involves only even cards. | |
| Oct 10, 2023 at 15:33 | history | edited | Peanutlex | CC BY-SA 4.0 |
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| Oct 10, 2023 at 15:32 | comment | added | JMoravitz | I agree with your answer. "a size 3 set" does imply to me that order is irrelevant, though it is frustrating that the question author would choose to write it in this manner when there are more appropriate words that could be used like multiset. | |
| Oct 10, 2023 at 15:28 | history | asked | Peanutlex | CC BY-SA 4.0 |