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You have 5 books that you want to read. You are going onvacation, and you can take 2 of the books with you. Howmany ways can you choose a combination of 2 books out of5?

You have 5 books that you want to read. You are going onvacation, and you can take-example-1
User Valloric
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2 Answers

4 votes

Final answer:

To find the number of ways to choose 2 books out of 5, we use the formula for combinations. The number of combinations is 10.

Step-by-step explanation:

To find the number of ways to choose a combination of 2 books out of 5, we use the formula for combinations. The formula is nCr = n! / ((n - r)! * r!), where n represents the total number of items and r represents the number of items to be chosen.

In this case, we have 5 books and we want to choose 2. So, the number of combinations is 5C2 = 5! / ((5 - 2)! * 2!).

Using the formula, we can calculate the number of combinations: 5C2 = 5! / (3! * 2!) = 5 * 4 / (2 * 1) = 10.

Therefore, there are 10 ways to choose a combination of 2 books out of 5.

User Papacostas
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3 votes

Given

You have 5 books that you want to read. You are going on

vacation, and you can take 2 of the books with you. How

many ways can you choose a combination of 2 books out of

5?

Procedure

combination of 2 books out of 5


5C2=10

The answer is 10

User Arthur Putnam
by
5.3k points