1. A class has 15 girls and 10 boys. The teacher wants to form an unordered...

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1. A class has 15 girls and 10 boys. The teacher wants to forman unordered pair consisting
of 1 girl and 1 boy. How many ways are there to form such apair?

2. For the same setup (i.e. class of 15 girls and 10 boys), theteacher wants to form an
unordered group of 3, consisting of 2 girls and 1boy. 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 girlsand 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?

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