UPSC Exam > UPSC Questions > There are 5 boys standing in a row and 5 girl...
Start Learning for Free
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?
- a)360
- b)120
- c)540
- d)720
- e)180
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are 5 boys standing in a row and 5 girls are to be paired with t...
So that gives 5x4x3x2 = 120 possible ways to pair up 5 boys and 5 girls into boy-girl couples. Putting the boys in a fixed row, any permutation of the girls will make a valid pairing. So in total there will be 5!= 120 different ways to arrange boy-girl pairs.
Most Upvoted Answer
There are 5 boys standing in a row and 5 girls are to be paired with t...
For a group dance, there should be 5 pairs, each having 1 boy and 1 girl.. Let us fix a boy B1,for him we can choose 1 girl among 5 girls in 5 ways. Similarly 4 ways to choose the second one. Hence we will get 5*4*3*2*1 = 120 ways...
Free Test
FREE
| Start Free Test |
Community Answer
There are 5 boys standing in a row and 5 girls are to be paired with t...
Problem Solving Approach:
The given problem is an example of permutation. We need to find the number of ways in which 5 girls can be paired with 5 boys for a group dance competition in a school.
Solution:
The total number of ways in which 5 girls can be paired with 5 boys is given by the permutation formula:
nPr = n! / (n - r)!
where n is the total number of items and r is the number of items to be selected.
In this case, we have 5 girls to be paired with 5 boys, so n = 5 and r = 5.
Therefore,
nPr = 5! / (5 - 5)!
= 5! / 0!
= 5!
= 120
Therefore, there are 120 ways in which 5 girls can be paired with 5 boys for a group dance competition in a school.
Hence, the correct answer is option B.
The given problem is an example of permutation. We need to find the number of ways in which 5 girls can be paired with 5 boys for a group dance competition in a school.
Solution:
The total number of ways in which 5 girls can be paired with 5 boys is given by the permutation formula:
nPr = n! / (n - r)!
where n is the total number of items and r is the number of items to be selected.
In this case, we have 5 girls to be paired with 5 boys, so n = 5 and r = 5.
Therefore,
nPr = 5! / (5 - 5)!
= 5! / 0!
= 5!
= 120
Therefore, there are 120 ways in which 5 girls can be paired with 5 boys for a group dance competition in a school.
Hence, the correct answer is option B.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer?
Question Description
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer?.
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer?.
Solutions for There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer?, a detailed solution for There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?a)360b)120c)540d)720e)180Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup