In: Math
1. A class has 15 girls and 10 boys. The teacher wants to form
an unordered pair consisting
of 1 girl and 1 boy. How many ways are there to form such a
pair?
2. For the same setup (i.e. class of 15 girls and 10 boys), the
teacher wants to form an
unordered group of 3, consisting of 2 girls and 1
boy. How many ways are there to form
such a group?
3. For the same setup (i.e. class of 15 girls and 10 boys),
assume the teacher now wants to
form an ordered group of 3, consisting of 2 girls
and 1 boy (e.g., think of each student
having a different task, so their order, i.e. who does what,
matters). How many ways
are there to form such a group?