JEE Exam > JEE Questions > How many ways can three white and three red b...
Start Learning for Free
How many ways can three white and three red balloons be arranged in a row?
- a)6!
- b)10
- c)20
- d)3!.3!
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
How many ways can three white and three red balloons be arranged in a ...
3 white balls, 3 red balls
Total balls = 6
Total no. of ways = (6!)/(3!)(3!)
= (6*5*4*3!)/(3!*3*2)
= (5*4) = 20
Total balls = 6
Total no. of ways = (6!)/(3!)(3!)
= (6*5*4*3!)/(3!*3*2)
= (5*4) = 20
Free Test
FREE
| Start Free Test |
Community Answer
How many ways can three white and three red balloons be arranged in a ...
Arranging Three White and Three Red Balloons in a Row
To determine the number of ways in which three white and three red balloons can be arranged in a row, we can use the formula for permutations of objects with repetition.
Formula: n! / (n1!n2!...nk!), where n is the total number of objects, and n1, n2,...nk are the number of objects of each type.
Using this formula, we can calculate the number of arrangements as follows:
n = 6 (total number of balloons)
n1 = 3 (number of white balloons)
n2 = 3 (number of red balloons)
Number of arrangements = 6! / (3! 3!) = 20
Therefore, there are 20 ways in which three white and three red balloons can be arranged in a row.
Explanation:
- The formula for permutations with repetition is n! / (n1!n2!...nk!), where n is the total number of objects, and n1, n2,...nk are the number of objects of each type.
- In this case, we have a total of six balloons, with three white and three red balloons.
- Using the formula, we can calculate the number of arrangements as 6! / (3! 3!) = 20.
- This means that there are 20 ways in which we can arrange the three white and three red balloons in a row.
- Therefore, the correct answer is option C.
To determine the number of ways in which three white and three red balloons can be arranged in a row, we can use the formula for permutations of objects with repetition.
Formula: n! / (n1!n2!...nk!), where n is the total number of objects, and n1, n2,...nk are the number of objects of each type.
Using this formula, we can calculate the number of arrangements as follows:
n = 6 (total number of balloons)
n1 = 3 (number of white balloons)
n2 = 3 (number of red balloons)
Number of arrangements = 6! / (3! 3!) = 20
Therefore, there are 20 ways in which three white and three red balloons can be arranged in a row.
Explanation:
- The formula for permutations with repetition is n! / (n1!n2!...nk!), where n is the total number of objects, and n1, n2,...nk are the number of objects of each type.
- In this case, we have a total of six balloons, with three white and three red balloons.
- Using the formula, we can calculate the number of arrangements as 6! / (3! 3!) = 20.
- This means that there are 20 ways in which we can arrange the three white and three red balloons in a row.
- Therefore, the correct answer is option C.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer?
Question Description
How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer?.
How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer?.
Solutions for How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer?, a detailed solution for How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many ways can three white and three red balloons be arranged in a row?a)6!b)10c)20d)3!.3!Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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