CA Foundation Exam > CA Foundation Questions > If 18Cr = 18Cr+2, the value of rC5 isa)55b)50...
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If 18Cr = 18Cr+2, the value of rC5 is
- a)55
- b)50
- c)56
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If 18Cr = 18Cr+2, the value of rC5 isa)55b)50c)56d)none of theseCorrec...
Given, 18Cr = 18Cr 2
To find: value of rC5
Explanation:
We know that, nCr = nC(n-r)
By using the above formula, we can write:
18Cr = 18C(18-r)
Given, 18Cr = 18Cr 2
So, we can write:
18Cr = 18C(18-r) 2
By equating the above two equations, we get:
18C(18-r) = 18C(18-r) 2
Dividing both sides by 18C(18-r), we get:
1 = 2
This is not possible. So, the given equation 18Cr = 18Cr 2 is not true.
Hence, there is no value of r for which the equation is true. Therefore, the answer is none of these.
Correct answer: Option D) None of these.
To find: value of rC5
Explanation:
We know that, nCr = nC(n-r)
By using the above formula, we can write:
18Cr = 18C(18-r)
Given, 18Cr = 18Cr 2
So, we can write:
18Cr = 18C(18-r) 2
By equating the above two equations, we get:
18C(18-r) = 18C(18-r) 2
Dividing both sides by 18C(18-r), we get:
1 = 2
This is not possible. So, the given equation 18Cr = 18Cr 2 is not true.
Hence, there is no value of r for which the equation is true. Therefore, the answer is none of these.
Correct answer: Option D) None of these.
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Community Answer
If 18Cr = 18Cr+2, the value of rC5 isa)55b)50c)56d)none of theseCorrec...
Correct option is A)
18Cr=18Cr+2
So, r=r+2 or 18−r=r+2
16=2r
r=8
So, 8C5=8!/5!.3!=6×7×8/6=56.
Hence, the answer is 56.
18Cr=18Cr+2
So, r=r+2 or 18−r=r+2
16=2r
r=8
So, 8C5=8!/5!.3!=6×7×8/6=56.
Hence, the answer is 56.
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