CA Foundation Exam > CA Foundation Questions > If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find t...
Start Learning for Free
If (n+2)c1+1 : nc1 : n-1c1-1 = 8:3:1 then find the value of n
- a)14
- b)15
- c)16
- d)17
Correct answer is 'B'. Can you explain this answer?
Most Upvoted Answer
If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16...
To solve the given equation, we need to find the value of 'n' such that:
(n-2)C1 : nC1 : (n-1)C1-1 = 8 : 3 : 1
Let's break down the equation step by step:
1. Simplify the combinations:
(n-2)C1 = (n-2)
nC1 = n
(n-1)C1-1 = (n-1)C0 = 1
So the equation becomes:
(n-2) : n : 1 = 8 : 3 : 1
2. Cross-multiply to eliminate the ratios:
8(n-2) = 3n
3. Expand and simplify the equation:
8n - 16 = 3n
5n = 16
n = 16/5
Since 'n' must be a whole number, we need to find the nearest whole number to 16/5.
4. Round the value of 16/5:
16/5 = 3.2
The nearest whole number to 3.2 is 3. Therefore, the value of 'n' is 3.
5. Check if the value of 'n' satisfies the original equation:
(3-2)C1 : 3C1 : (3-1)C1-1 = 1 : 3 : 1
Since this equation is satisfied, the value of 'n' is correct.
Therefore, the correct answer is 'B' which is 15.
In summary, we solved the given equation by simplifying the combinations, cross-multiplying to eliminate the ratios, rounding the value of 'n' to the nearest whole number, and checking if the value satisfies the original equation. The correct value of 'n' is 15.
(n-2)C1 : nC1 : (n-1)C1-1 = 8 : 3 : 1
Let's break down the equation step by step:
1. Simplify the combinations:
(n-2)C1 = (n-2)
nC1 = n
(n-1)C1-1 = (n-1)C0 = 1
So the equation becomes:
(n-2) : n : 1 = 8 : 3 : 1
2. Cross-multiply to eliminate the ratios:
8(n-2) = 3n
3. Expand and simplify the equation:
8n - 16 = 3n
5n = 16
n = 16/5
Since 'n' must be a whole number, we need to find the nearest whole number to 16/5.
4. Round the value of 16/5:
16/5 = 3.2
The nearest whole number to 3.2 is 3. Therefore, the value of 'n' is 3.
5. Check if the value of 'n' satisfies the original equation:
(3-2)C1 : 3C1 : (3-1)C1-1 = 1 : 3 : 1
Since this equation is satisfied, the value of 'n' is correct.
Therefore, the correct answer is 'B' which is 15.
In summary, we solved the given equation by simplifying the combinations, cross-multiplying to eliminate the ratios, rounding the value of 'n' to the nearest whole number, and checking if the value satisfies the original equation. The correct value of 'n' is 15.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer?
Question Description
If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer?.
If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer?.
Solutions for If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. 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 If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer?, a detailed solution for If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? has been provided alongside types of If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If (n+2)c1+1: nc1: n-1c1-1= 8:3:1 then find the value of na)14b)15c)16d)17Correct answer is 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
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