https://file.aiquickdraw.com/mathbot/file/1729484422540m1yb1xyf.jpg

Let's break down the questions based on the image.

### First question: **How many students are enrolled in total?**

The enrollment numbers for each program are:
- Game Design: 35 students
- Mobile Development: 28 students
- Game Development: 32 students
- Computer Science: 19 students
- Simulation/Visualization: 21 students

The total number of students enrolled is the sum of all these values:
\[
35 + 28 + 32 + 19 + 21 = 135 \text{ students}
\]

### Second question: **How many ways are there to pick a group of 5 students with one representative from each degree program?**

This question involves selecting one student from each of the five different programs. To find how many ways we can do this, we multiply the number of students available in each program:

\[
35 \times 28 \times 32 \times 19 \times 21 = 11,949,440 \text{ ways}
\]

#### Answers:
- **Total number of students enrolled:** 135
- **Number of ways to pick a group of 5 students:** 11,949,440

Would you like more details or have any questions? Here are 5 follow-up questions:

1. How would the total change if 10 more students enrolled in Game Development?
2. What if you were to form a group of 4 students instead of 5, with one from each of the first four programs?
3. What is the probability of randomly selecting a student from Mobile Development?
4. How would the number of ways to pick the group change if Computer Science had 25 students instead of 19?
5. If one student is randomly picked, what is the probability they are from Game Design?

**Tip:** In problems involving multiple choices (like choosing one from each group), multiplying the number of choices for each step gives the total number of possibilities.

The roster shows the number of students enrolled by degree program:
- 35 are enrolled in Game Design
- 28 are enrolled in Mobile Development
- 32 are enrolled in Game Development
- 19 are enrolled in Computer Science
- 21 are enrolled in Simulation/Visualization

How many students are enrolled in total?
How many ways are there to pick a group of 5 students with one representative from each degree program?

Solve how many students are enrolled across five degree programs with totals provided. Also, discover how to calculate the number of ways to pick a representative from each program using the multiplication rule. This problem integrates basic addition and combinatorics concepts.

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