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In how many ways can 3 boys and 2 girls be seated in a row?
In how many ways can 3 boys and 2 girls be seated in a row?
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Practice Questions
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Q1
In how many ways can 3 boys and 2 girls be seated in a row?
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120
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The total number of arrangements is (3+2)! = 5! = 120.
Questions & Step-by-step Solutions
1 item
Q
Q: In how many ways can 3 boys and 2 girls be seated in a row?
Solution:
The total number of arrangements is (3+2)! = 5! = 120.
Steps: 6
Show Steps
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.
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