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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?
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Verified 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
Most Upvoted 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.
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How many ways can three white and three red balloons be arranged in a ...
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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?
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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 2024 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 2024 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 2024 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 2024 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?.
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