Chapter 1.3, Problem 1AEXP

There are 15 candidates running for any of 5 distinct positions on the local school board. In how many different ways could the 5 positions be filled?

Celina is picking a new frame for a custom piece of artwork. She has to select a frame size, material, and color.  There are four different frame sizes, three different frame materials, and six different frame colors.  She must chose one option only from each category.  How many different possible frames could Celina pick from?

A research study in the year 2009 found that there were 2760 coyotes in a given region. The coyote population declined at a rate of 5.8% each year. How many fewer coyotes were there in 2024 than in 2015? Explain in at least one sentence how you solved the problem. Show your work. Round your answer to the nearest whole number.