Subjects combinatorics

Question Arrangements A5F0F0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem Statement:** Karla has 6 questions and wants to find out how many unique ways she can arrange these 6 questions in different orders. 2. **Formula Used:** The number of ways to arrange $n$ distinct items is given by the factorial of $n$, denoted as $n!$. 3. **Explanation:** Factorial means multiplying all whole numbers from $n$ down to 1. For example, $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1$. 4. **Calculation:** $$ 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720 $$ 5. **Conclusion:** There are 720 unique ways to arrange the 6 questions in different orders.