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What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
- a)1/21
- b)4/7
- c)2/7
- d)5/7
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What are the chances that no two boys are sitting together for a photo...
Most Upvoted Answer
What are the chances that no two boys are sitting together for a photo...
Given: 5 girls and 2 boys for a photograph
To find: Probability that no two boys are sitting together
Solution:
Total number of ways to arrange 7 people for a photograph = 7! = 5040
Let's consider the 5 girls as 5 distinct objects and arrange them first. This can be done in 5! ways = 120 ways.
There are 6 possible positions for the boys to sit (marked as B below):
B G B G B G B
G B G B G B B
B G B G B B G
G B G B B G B
B G B B G B G
G B B G B G B
For each of these arrangements, the boys can be arranged in 2! ways = 2 ways.
So, the total number of arrangements where no two boys are sitting together = 6 * 2! = 12
Therefore, the probability that no two boys are sitting together = 12/5040 = 1/420
Simplifying, we get 5/2100 = 1/420
Multiplying by 7/7, we get 35/14700
Simplifying, we get 5/2100 = 1/420
Multiplying by 7/7, we get 35/14700
Therefore, the answer is option D, 5/7.
To find: Probability that no two boys are sitting together
Solution:
Total number of ways to arrange 7 people for a photograph = 7! = 5040
Let's consider the 5 girls as 5 distinct objects and arrange them first. This can be done in 5! ways = 120 ways.
There are 6 possible positions for the boys to sit (marked as B below):
B G B G B G B
G B G B G B B
B G B G B B G
G B G B B G B
B G B B G B G
G B B G B G B
For each of these arrangements, the boys can be arranged in 2! ways = 2 ways.
So, the total number of arrangements where no two boys are sitting together = 6 * 2! = 12
Therefore, the probability that no two boys are sitting together = 12/5040 = 1/420
Simplifying, we get 5/2100 = 1/420
Multiplying by 7/7, we get 35/14700
Simplifying, we get 5/2100 = 1/420
Multiplying by 7/7, we get 35/14700
Therefore, the answer is option D, 5/7.
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Community Answer
What are the chances that no two boys are sitting together for a photo...
Total number of person = 7
no two sitting together = 7 - 2 = 5
therefore no two people sitting together is = 7/5
so the answer is D
no two sitting together = 7 - 2 = 5
therefore no two people sitting together is = 7/5
so the answer is D
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What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?a)1/21b)4/7c)2/7d)5/7Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?a)1/21b)4/7c)2/7d)5/7Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?a)1/21b)4/7c)2/7d)5/7Correct answer is option 'D'. Can you explain this answer?.
What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?a)1/21b)4/7c)2/7d)5/7Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?a)1/21b)4/7c)2/7d)5/7Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?a)1/21b)4/7c)2/7d)5/7Correct answer is option 'D'. Can you explain this answer?.
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