Tuesday, 20 August 2013

Separating 18 people into 5 teams

Separating 18 people into 5 teams

A teacher wants to divide her class of 18 students into 5 teams to work on
projects, with two teams of 3 students each and three teams of 4 students
each.
a) In how many ways can she do this, if the teams are not numbered?
b) What is the probability that two of the students, Mia and Max, will be
on the same team?
[This is not a homework problem.]

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