Evelyn is picking out books for her upcoming trip. She needs to select 1 biography, 1 mystery novel, 1 motivational book, and 1 interactive storybook from her library. If her library consists of 6 biographies, 4 mystery novels, 5 motivational books, and 8 interactive storybooks, how many unique selections can she make?

Answer Choices

Correct answer marked below

120

240

480

960

Correct

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Official Explanation

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Evelyn's library includes 6 biographies, 4 mystery novels, 5 motivational books, and 8 interactive storybooks. She is required to choose 1 book from each category. Since the order of selection does not matter, we will use the combination formula n_c_r to find the answer. The number of ways to select 1 biography from 6 biographies is 6_C_1 = 6. The number of ways to select 1 mystery novel from 4 mystery novels is 4_C_1 = 4. The…

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Comments

LauraFeb 20, 2024

thanks

JovinaMar 9, 2025

thanks

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.