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In how many ways can 3 boys and 2 girls be seated in a row?
Practice Questions
Q1
In how many ways can 3 boys and 2 girls be seated in a row?
30
60
120
24
Questions & Step-by-Step Solutions
In how many ways can 3 boys and 2 girls be seated in a row?
Correct Answer: 120
Steps
Concepts
Step 1: Identify the total number of people to be seated. We have 3 boys and 2 girls, which makes a total of 3 + 2 = 5 people.
Step 2: Understand that we need to find the number of ways to arrange these 5 people in a row.
Step 3: Use the factorial notation to calculate the arrangements. The number of ways to arrange n people is given by n! (n factorial).
Step 4: Since we have 5 people, we calculate 5! (5 factorial).
Step 5: Calculate 5! = 5 × 4 × 3 × 2 × 1 = 120.
Step 6: Conclude that there are 120 different ways to seat 3 boys and 2 girls in a row.
No concepts available.
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