Question

Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She will list the books in the order in which they are chosen. How many different lists are possible?

Answer 1

Answer:

Therefore, the number of  different lists is 5040.

Step-by-step explanation:

We know that: Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. We calculate how many different lists are possible.

Because the order in which the books were selected is important. For the first place we have 10 possible books, for the second 9, for the third 8, and for the fourth place there are 7 possible books.

We calculate:

10·9·8·7=5040

Therefore, the number of  different lists is 5040.

Answer 2

Answer:

5040 ways

Step-by-step explanation:

She has a total of 10 books and wants to choose 4 books for reading

She can pick the first book in 10 different ways

Now there are 9 books left therefore, She can pick the second book in 9 different ways

At the third stage, there are 8 books left therefore, She can pick the third book in 8 different ways

At the final selection, there are 7 books left therefore, She can pick the fourth book in 7 different ways

Using the Fundamental Counting Principle (FCP), we can complete all 4 stages in 10X9X8X 7 ways = 5040 ways

There are 5,040 possible lists.