CA Foundation Exam > CA Foundation Questions > The Number of ways in which 12 students can b...
Start Learning for Free
The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these?
Most Upvoted Answer
The Number of ways in which 12 students can be equally divided into th...
Solution:
The given problem can be solved using combination formula.
Formula: nCr = n! / r! * (n-r)!
where n is the number of items, and r is the number of items being chosen at a time.
Step 1: Find the total number of ways to choose 4 students from 12 students.
12C4 = 12! / 4! * (12-4)! = 495
Step 2: Find the total number of ways to choose 4 students from 8 students.
8C4 = 8! / 4! * (8-4)! = 70
Step 3: Find the total number of ways to choose 4 students from 4 students.
4C4 = 1
Step 4: Multiply the number of ways in each step.
495 * 70 * 1 = 34650
Step 5: Divide the total number of ways by the number of groups.
34650 / 3! = 5775
Therefore, the number of ways in which 12 students can be equally divided into three groups is 5775.
Answer: (a) 5775
The given problem can be solved using combination formula.
Formula: nCr = n! / r! * (n-r)!
where n is the number of items, and r is the number of items being chosen at a time.
Step 1: Find the total number of ways to choose 4 students from 12 students.
12C4 = 12! / 4! * (12-4)! = 495
Step 2: Find the total number of ways to choose 4 students from 8 students.
8C4 = 8! / 4! * (8-4)! = 70
Step 3: Find the total number of ways to choose 4 students from 4 students.
4C4 = 1
Step 4: Multiply the number of ways in each step.
495 * 70 * 1 = 34650
Step 5: Divide the total number of ways by the number of groups.
34650 / 3! = 5775
Therefore, the number of ways in which 12 students can be equally divided into three groups is 5775.
Answer: (a) 5775
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
The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these?
Question Description
The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? 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 The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these?.
The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? 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 The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these?.
Solutions for The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? 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 The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? defined & explained in the simplest way possible. Besides giving the explanation of
The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these?, a detailed solution for The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? has been provided alongside types of The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? theory, EduRev gives you an
ample number of questions to practice The Number of ways in which 12 students can be equally divided into three groups is (a) 5775 (b) 7575 (c) 7755 (d) none of these? 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
|
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