CA Foundation Exam > CA Foundation Questions > Find the number of arrangements of 5 things t...
Start Learning for Free
Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.
- a)39,000
- b)37,600
- c)39,600
- d)36,000
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Find the number of arrangements of 5 things taken out of 12 things, in...
Given: 12 things and we have to select 5 things such that one particular thing must always be included.
To find: Number of arrangements of 5 things taken out of 12 things.
Solution:
Let's consider the given particular thing as one of the 5 selected things. Then we have to select 4 more things from the remaining 11 things.
Number of ways of selecting 4 things out of 11 things = 11C4
Number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included = 11C4 × 4!
[Because once we select the 5 things, we can arrange them in 5! ways.]
Now, let's simplify the expression for 11C4:
11C4 = (11 × 10 × 9 × 8) / (4 × 3 × 2 × 1) = 330
Therefore, the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included = 330 × 4! = 39,600
Hence, the correct option is (c) 39,600.
To find: Number of arrangements of 5 things taken out of 12 things.
Solution:
Let's consider the given particular thing as one of the 5 selected things. Then we have to select 4 more things from the remaining 11 things.
Number of ways of selecting 4 things out of 11 things = 11C4
Number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included = 11C4 × 4!
[Because once we select the 5 things, we can arrange them in 5! ways.]
Now, let's simplify the expression for 11C4:
11C4 = (11 × 10 × 9 × 8) / (4 × 3 × 2 × 1) = 330
Therefore, the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included = 330 × 4! = 39,600
Hence, the correct option is (c) 39,600.
Free Test
FREE
| Start Free Test |
Community Answer
Find the number of arrangements of 5 things taken out of 12 things, in...
Apply formula - n-1^ C r-1
here n = 12, r = 5, no.of arrangement = 5!
hence,
11C4 × 5! = 39600 (c)
here n = 12, r = 5, no.of arrangement = 5!
hence,
11C4 × 5! = 39600 (c)
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
Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer?
Question Description
Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? 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 Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer?.
Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? 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 Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer?.
Solutions for Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? 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 Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.a)39,000b)37,600c)39,600d)36,000Correct answer is option 'C'. Can you explain this answer? 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