CAT Exam > CAT Questions > In how many ways can 10 similar chocolates be...
Start Learning for Free
In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.
- a)13C3
- b)10C4
- c)9C3
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In how many ways can 10 similar chocolates be distributed among 4 chil...
Let the four children be a, b, c, d.
a + b + c + d = 10
Each child gets at least one chocolate, we will allocate one to each child.
i.e. (a + 1) + (b + 1) + (c + 1) + (d + 1) = 10
a + b + c + of = 6
Now we have to partition 6 chocolates to four children which can be done in: (6 + 3)C3 = 9C3 ways
Hence, option 3.
a + b + c + d = 10
Each child gets at least one chocolate, we will allocate one to each child.
i.e. (a + 1) + (b + 1) + (c + 1) + (d + 1) = 10
a + b + c + of = 6
Now we have to partition 6 chocolates to four children which can be done in: (6 + 3)C3 = 9C3 ways
Hence, option 3.
Most Upvoted Answer
In how many ways can 10 similar chocolates be distributed among 4 chil...
Distribution of Chocolates Among Children
To distribute 10 similar chocolates among 4 different children, the number of ways can be calculated using the following steps:
Step 1: Each child should get at least one chocolate. So, distribute one chocolate to each child. Now, 6 chocolates are left.
Step 2: The remaining chocolates can be distributed among 4 children in such a way that some children may get more than one chocolate and some may get none.
Step 3: Using the stars and bars formula, the remaining chocolates can be distributed among 4 children as shown below:
Number of ways = (n + r - 1) C (r - 1)
where n is the number of chocolates left after giving one chocolate to each child and r is the number of children.
Substituting the values, we get:
Number of ways = (6 + 4 - 1) C (4 - 1) = 9C3
Therefore, the correct answer is option C, which is 9C3.
To distribute 10 similar chocolates among 4 different children, the number of ways can be calculated using the following steps:
Step 1: Each child should get at least one chocolate. So, distribute one chocolate to each child. Now, 6 chocolates are left.
Step 2: The remaining chocolates can be distributed among 4 children in such a way that some children may get more than one chocolate and some may get none.
Step 3: Using the stars and bars formula, the remaining chocolates can be distributed among 4 children as shown below:
Number of ways = (n + r - 1) C (r - 1)
where n is the number of chocolates left after giving one chocolate to each child and r is the number of children.
Substituting the values, we get:
Number of ways = (6 + 4 - 1) C (4 - 1) = 9C3
Therefore, the correct answer is option C, which is 9C3.
Free Test
FREE
| Start Free Test |
Community Answer
In how many ways can 10 similar chocolates be distributed among 4 chil...
In how many ways, 10 identical chocolates be distributed among 3 children such that each child gets at least 1 chocolate?
A. 36
B. 66
C. 72
D. 78
E. 84.
A. 36
B. 66
C. 72
D. 78
E. 84.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In how many ways can 10 similar chocolates be distributed among 4 children of different ages such that each child gets, at least, one chocolate.a)13C3b)10C4c)9C3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup