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Ryan checked out 3 books from the library: one mystery (M), one history book (H), and one biography (B). Which tree diagram shows all the possible orders in which Ryan can read the 3 books?





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1 Answer

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Final answer:

A tree diagram can be used to show all the possible orders in which Ryan can read the 3 books.

Step-by-step explanation:

A tree diagram can be used to show all the possible orders in which Ryan can read the 3 books. Since Ryan has 3 books, there are 3 possibilities for the first book, 2 possibilities for the second book, and 1 possibility for the third book. Therefore, the total number of possible orders is 3 x 2 x 1 = 6. The tree diagram below shows all the possible orders:



M
/ \
H B
M
/ \
B H
H
/ \
M B
H
/ \
B M
B
/ \
H M
B
/ \
M H

User Jaron Thatcher
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