4. Counting Techniques
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Is the order important?
Permutations or combinations? Combinations
Answer: 220
We want to find how many ways there are to select 9 out of 12 books from the list. Note that, in this case, the order is not important. Therefore, the situation involves combinations. To calculate the answer, we will use the formula for combinations of n objects taken r at a time.
n= 12, r= 9
Subtract term
Write as a product
Cancel out common factors
Write as a product
Multiply
Calculate quotient
There are 220 ways to select 9 of 12 books.