How many ways can 3 boys and 2 girls be seated in a row?
Practice Questions
1 question
Q1
How many ways can 3 boys and 2 girls be seated in a row?
30
60
120
180
The number of ways to arrange 5 people is 5! = 120.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 3 boys and 2 girls be seated in a row?
Solution: The number of ways to arrange 5 people is 5! = 120.
Steps: 5
Step 1: Identify the total number of people to arrange. In this case, we have 3 boys and 2 girls, which makes a total of 5 people.
Step 2: Understand that arranging 5 people in a row can be calculated using the factorial of the number of people. The factorial of a number (n!) is the product of all positive integers up to that number.
Step 3: Calculate the factorial of 5. This means you multiply 5 × 4 × 3 × 2 × 1.
Step 4: Perform the multiplication: 5 × 4 = 20, then 20 × 3 = 60, then 60 × 2 = 120, and finally 120 × 1 = 120.
Step 5: Conclude that the total number of ways to arrange 3 boys and 2 girls in a row is 120.
