CA Foundation Exam > CA Foundation Questions > In how many ways can 10 different prizes be g...
Start Learning for Free
In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes?
Most Upvoted Answer
In how many ways can 10 different prizes be given to 5 students if one...
4 prizes are always goan to a particular student,so reduce these from 10.now we are left with 6 prizes.we had 5 students,but one had already taken exactly 4 prizes .so we r left with 4 students.
.and listen it is a case of combination as arrangement is not important because any one can get any number of prize.
now,this combination will be in
6C4=15 ways
.and listen it is a case of combination as arrangement is not important because any one can get any number of prize.
now,this combination will be in
6C4=15 ways
Community Answer
In how many ways can 10 different prizes be given to 5 students if one...
Step 1: Assigning Prizes to the Particular Boy
To start, we need to choose 4 prizes for the particular boy from the 10 available prizes. This can be done using the combination formula:
- Number of ways to choose 4 prizes from 10:
- Combinations = C(10, 4) = 210
Step 2: Distributing Remaining Prizes
After assigning 4 prizes to the boy, we have 6 prizes left (10 - 4 = 6). These 6 prizes can be distributed among 5 students, including the boy who has already received 4 prizes.
- Each of the 6 remaining prizes can go to any of the 5 students:
- Number of ways to distribute 6 prizes = 5^6 = 15625
Step 3: Total Ways to Distribute Prizes
Now, we need to combine the ways to choose the 4 prizes for the boy and the ways to distribute the remaining 6 prizes:
- Total ways = C(10, 4) * 5^6
- Total ways = 210 * 15625
- Total ways = 3281250
Conclusion
Thus, the total number of ways to give out the 10 different prizes to 5 students, with a specific boy receiving 4 prizes, is 3,281,250.
To start, we need to choose 4 prizes for the particular boy from the 10 available prizes. This can be done using the combination formula:
- Number of ways to choose 4 prizes from 10:
- Combinations = C(10, 4) = 210
Step 2: Distributing Remaining Prizes
After assigning 4 prizes to the boy, we have 6 prizes left (10 - 4 = 6). These 6 prizes can be distributed among 5 students, including the boy who has already received 4 prizes.
- Each of the 6 remaining prizes can go to any of the 5 students:
- Number of ways to distribute 6 prizes = 5^6 = 15625
Step 3: Total Ways to Distribute Prizes
Now, we need to combine the ways to choose the 4 prizes for the boy and the ways to distribute the remaining 6 prizes:
- Total ways = C(10, 4) * 5^6
- Total ways = 210 * 15625
- Total ways = 3281250
Conclusion
Thus, the total number of ways to give out the 10 different prizes to 5 students, with a specific boy receiving 4 prizes, is 3,281,250.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes?
Question Description
In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes?.
In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes?.
Solutions for In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? defined & explained in the simplest way possible. Besides giving the explanation of
In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes?, a detailed solution for In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? has been provided alongside types of In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? theory, EduRev gives you an
ample number of questions to practice In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup