the national hockey league is comprised of 32 teams from the usa and c
The National Hockey League is comprised of 32 teams from the USA and Canada, split into
four divisions of eight. Further, the Central Division has only one Canadian team, the Pacific
and Atlantic Divisions both have three Canadian teams and the Metropolitan Division has
none. Suppose two Metropolitan Division team go bankrupt and the league decides to realign
into five divisions of six teams by creating the new Stern Division composed of two teams
taken from each of the Central, Pacific and Atlantic Divisions.
a) How many possible combinations of teams are there for the new Stern Division?
b) Assuming completely independent selections, what is the probability there will be more
Canadian than American teams in the Stern Division?
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