Mrs.Koh purchased new books for the school library, of which 6 were Mathematics books, 7 were Science books, 10 were Music books, 3 were Art books, and 4 were

social studies books. All of these books were different. She picked a book from each subject to display in a row on a self. How many different possible displays could there be?

number of choices for a row

= 6x7x10x3x4 = 5040

now each of these can be arranged in 5! ways

so number of possible different displays = 5!(5040)
= 604800

there are 8 boxes on the shelf. 2 of the books are fiction. the rest are nonfiction what fraction of the books are fiction

In a bookcase, there are 7 fiction books for every 4 nonfiction books. There are 33 books in the bookcase. How many nonfiction books are in the bookcase?

To find the number of different possible displays, we need to multiply the number of choices for each subject.

In this case, we have 5 subjects: Mathematics, Science, Music, Art, and Social Studies.

Mrs. Koh purchased 6 Mathematics books, so she has 6 choices for the Mathematics book display.

She purchased 7 Science books, so she has 7 choices for the Science book display.

She purchased 10 Music books, so she has 10 choices for the Music book display.

She purchased 3 Art books, so she has 3 choices for the Art book display.

She purchased 4 Social Studies books, so she has 4 choices for the Social Studies book display.

To find the total number of possible displays, we multiply these choices together:

6 x 7 x 10 x 3 x 4 = 8,400

Therefore, there could be 8,400 different possible displays.