How many anagrams can we make from the word “BOOKKEEPERS”?  How does this change if we require S to always follow R? We have 5 distinct breakout rooms and 30 distinct students in lab. How many ways can we distribute 30 distinct students into the 5 breakout rooms?

Answer these questions using basic counting with product, sum, subtraction, and division rules:

You are making another trek to St. Ives, but this time, you want to bring 5 friends, including at least 2 Computer Science majors. Let’s say you have 21 friends to choose from, and exactly 7 of them are CS majors. How many different groups of 5 can you select?
How many 32-bit strings have exactly 23 ones and 9 zeros?
The average pig litter consists of 7 piglets. In how many ways can a mother pig of 7 piglets have exactly 2 girls? (Denoting B for boy and G for girl, GGBBBB is one “way” and BBBBGG is another “way”.)
How many anagrams can we make from the word “BOOKKEEPERS”?  How does this change if we require S to always follow R?
We have 5 distinct breakout rooms and 30 distinct students in lab. How many ways can we distribute 30 distinct students into the 5 breakout rooms?
How many ways can we distribute 30 identical students into the 5 distinct breakout rooms?
How many ways can we distribute 30 identical students into the 5 identical breakout rooms?

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