Question

In how many ways can 5 people be arranged in a row?

• A. \( 120 \)
• B. \( 60 \)
• C. \( 24 \)
• D. \( 10 \)

Hint:

To calculate the number of ways to arrange \( n \) objects, use the formula \( n! \), which represents the factorial of \( n \).

Answer 1

The Correct Option is A

We are asked to find the number of ways to arrange 5 people in a row. Step 1: Use the formula for permutations The number of ways to arrange \( n \) distinct objects in a row is given by the formula: \[ P(n) = n! \] For 5 people, \( n = 5 \), so we need to calculate \( 5! \). Step 2: Calculate \( 5! \) \[ 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \] Answer: The number of ways to arrange 5 people in a row is \( 120 \), so the correct answer is option (1).