Question

Vera needs to place 15 student volunteers at a local fire station. Five students will wash fire trucks, 7 will be assigned to paint, and 3 will be assigned to washwindows. What is the number of possible job assignments expressed using factorials and as a simplified number? 8. Complete the two-way table below. Then find the fraction of red cards in a standard 52-card deck that have a number on them and find the fraction of numbered cards that are red.

Answer 1

The number of possible job assignments expressed as factorials and as a simplified number is 3,628,800.

Step-by-step explanation:

The number of possible job assignments can be found using factorials. We can find the number of ways to assign the 5 students to wash fire trucks using 5 factorial (5!) which is equal to 5 x 4 x 3 x 2 x 1 = 120. Similarly, we can find the number of ways to assign the 7 students to paint using 7 factorial (7!) which is equal to 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. Finally, we can find the number of ways to assign the 3 students to wash windows using 3 factorial (3!) which is equal to 3 x 2 x 1 = 6. To find the total number of possible job assignments, we multiply these three values together: 120 x 5040 x 6 = 3,628,800.