LAMONT IS REQ TO READ 1 BIO, 1 SCIENCE, AND 1 POETRY BOOK EACH MONTH. HIS BOOK CHOICES ARE:
2 DIFF BIOS
3 DIFF SCIENCE
3 DIFF POETRY
HOW MANY COMBINATIONS OF REQ BOOKS ARE POSSIBLE?
it would be C(2,1)*C(3,1)*C(3,1) = 2x3x3 = 18
To determine the number of combinations of required books that Lamont can choose from, we can use the principle of multiplication.
First, let's calculate the number of combinations for each category:
- For the biography books, Lamont can choose 1 out of 2, so there are 2 combinations.
- For the science books, Lamont can choose 1 out of 3, so there are 3 combinations.
- For the poetry books, Lamont can choose 1 out of 3, so there are 3 combinations.
To find the total number of combinations, we multiply the number of combinations for each category together:
2 (biography) * 3 (science) * 3 (poetry) = 18
Therefore, there are 18 possible combinations of required books that Lamont can choose from.