Question

if c(n+a)=c(n+b);a=b​

Answer 1

Answer:

If C(2n,3):C(n,2) = 12:1, then n =

MEDIUM

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ANSWER

We have,

C(2n,3):C(n,2)=12:1

⇒  

n

C  

2

​  

 

2n

C  

3

​  

 

​  

=  

1

12

​  

 

⇒  

2n

C  

3

​  

=12⋅  

n

C  

2

​  

 

⇒  

3!

2n(2n−1)(2n−2)

​  

=12⋅  

2!

n(n−1)

​  

 

⇒  

6

4(2n−1)

​  

=  

2

12

​  

 

⇒2n−1=9

⇒n=5

Step-by-step explanation:

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