These types of questions are really helpful.. There should be more of these "man, woman, child" questions so we can learn the masc, fem, neut for each word where it's required
Jeden lud, jeden rzesza...
rzesza is feminine, so "jedna" ;)
Right you are.
"chinese policy" should be accepted ;)
Is genitive not used when denoting "one of"?
Genitive denotes 'of'. Why? There isn't anything like that, just listing people.
I think if we wanted to say one of the men", we would need to use "z+Gen"
Jeden z mężczyzn.
Is there a non-gendered version of the numbers? For instance, giving the score of a game?
Well, the scores in games would use the default numbers, like jeden/dwa/trzy/cztery/pięć etc.
You can say a score like 2:2 as "dwa - dwa" or "dwa do dwóch", with the second number taking Genitive because of "do".