A media center specialist wants to make a display of 3 types of fiction books. She has 4 mysteries, 3 adventures, and 6 science fiction books. How many possible combinations are there for a display with one mystery, one adventure, and one science fiction book?

72 possible combinations

Step-by-step explanation:

In order to calculate the total number of possible outcomes of using one of each category we simply need to multiply the total number of books from each category together. Since there are 4 mysteries, 3 adventures, and 6 science fiction books we multiply these values with one another.

4 * 3 * 6 = 72

Finally, we can see that there are a total of 72 possible combinations for displaying one book from each category together.

∞ this is your sign

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.