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 public:calculating_the_size_of_a_set_by_observing_the_proportionality_change_of_its_disjoint_subsets [2019/04/17 03:00]fangfufu [Solution] public:calculating_the_size_of_a_set_by_observing_the_proportionality_change_of_its_disjoint_subsets [2019/04/17 03:08] (current)fangfufu [Formal Problem statement] 2019/04/17 03:08 fangfufu [Formal Problem statement] 2019/04/17 03:00 fangfufu [Solution] 2019/04/16 12:02 fangfufu [Background] 2019/04/16 11:55 fangfufu [Formal Problem statement] 2019/04/16 11:52 fangfufu [Solution] 2019/04/16 11:49 fangfufu [Background] 2019/04/16 11:36 fangfufu 2019/04/16 11:34 fangfufu [Formal Problem statement] 2019/04/16 11:33 fangfufu 2019/04/16 11:22 fangfufu [Solution] 2019/04/16 11:09 fangfufu [Problem statement] 2019/04/16 11:08 fangfufu [Solution] 2019/04/16 10:59 fangfufu 2019/04/16 10:47 fangfufu 2019/04/16 10:41 fangfufu 2019/04/16 10:40 fangfufu [Solution] 2019/04/16 10:27 fangfufu 2019/04/16 10:24 fangfufu created 2019/04/17 03:08 fangfufu [Formal Problem statement] 2019/04/17 03:00 fangfufu [Solution] 2019/04/16 12:02 fangfufu [Background] 2019/04/16 11:55 fangfufu [Formal Problem statement] 2019/04/16 11:52 fangfufu [Solution] 2019/04/16 11:49 fangfufu [Background] 2019/04/16 11:36 fangfufu 2019/04/16 11:34 fangfufu [Formal Problem statement] 2019/04/16 11:33 fangfufu 2019/04/16 11:22 fangfufu [Solution] 2019/04/16 11:09 fangfufu [Problem statement] 2019/04/16 11:08 fangfufu [Solution] 2019/04/16 10:59 fangfufu 2019/04/16 10:47 fangfufu 2019/04/16 10:41 fangfufu 2019/04/16 10:40 fangfufu [Solution] 2019/04/16 10:27 fangfufu 2019/04/16 10:24 fangfufu created Line 15: Line 15: We can consider everyone who voted in an Instagram poll as a set, and the two options are disjoint subsets of the superset. ​ We can consider everyone who voted in an Instagram poll as a set, and the two options are disjoint subsets of the superset. ​ - ===== Formal ​Problem ​statement ===== + ===== Formal ​problem ​statement ===== Set $A$ consists of disjoint subsets $a_1, a_2, ..., a_n$. Although we do not know the cardinality of set $A$ (denoted by $|A|$) and the cardinality of each of the subset, we do know the proportion of each subset in terms of set $A$, that is we know $\frac{|a_1|}{|A|},​ \frac{|a_2|}{|A|},​ ... \frac{|a_n|}{|A|}$. We are allowed to add $n$ elements into subset $a_1$, and observe its change in proportionality. What is the cardinality of set $A$ before elements were added to $a_1$? Set $A$ consists of disjoint subsets $a_1, a_2, ..., a_n$. Although we do not know the cardinality of set $A$ (denoted by $|A|$) and the cardinality of each of the subset, we do know the proportion of each subset in terms of set $A$, that is we know $\frac{|a_1|}{|A|},​ \frac{|a_2|}{|A|},​ ... \frac{|a_n|}{|A|}$. We are allowed to add $n$ elements into subset $a_1$, and observe its change in proportionality. What is the cardinality of set $A$ before elements were added to $a_1$?
• public/calculating_the_size_of_a_set_by_observing_the_proportionality_change_of_its_disjoint_subsets.txt