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The number of 4 different book combinations you can choose from 6 books is;

6C4 =

6!/[4!(6-4)!] =

15 combinations of 4 different books.

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Q: How many different combinations of 4 books can be chosen from 6 books?
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How many license plate combinations from 3 digits followed by 3 letters?

There are 26 different letters that can be chosen for each letter. There are 10 different numbers that can be chosen for each number. Since each of the numbers/digits that can be chosen for each of the six "spots" are independent events, we can multiply these combinations using the multiplicative rule of probability.combinations = (# of different digits) * (# of different digits) * (# of different digits) * (# of different letters) * (# of different letters) * (# of different letters) = 10 * 10 * 10 * 26 * 26 * 26 = 103 * 263 = 1000 * 17576 = 17,576,000 different combinations.


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Related questions

How many different sets of 2 books can be chosen from a set of 6 different books?

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