Question

Select the correct answer. an art gallery wants to display 4 pieces of art in the front window. if there are 8 pieces to choose from, how many distinct displays are possible? a. 40,320 b. 10,080 c. 1,680 d. 70

Answer 1

Answer: 1,680

Explanation: Correct on Edmentum

Answer 2

The correct answer is c. 1,680.

Step-by-step explanation:

In this case, there are 8 pieces of art to choose from, and 4 of them will be displayed in the front window. Since the order in which the pieces are displayed matters, this is an example of a combination with repetition. To calculate the number of distinct displays possible, we can use the formula: n^r, where n is the number of items to choose from and r is the number of items being chosen at a time. In this case, n is 8 and r is 4, so the number of distinct displays is 8^4 = 1,680.