Home
Class 12
MATHS
If .^(2n)C(3):^(n)C(3)=11:1, find the va...

If `.^(2n)C_(3):^(n)C_(3)=11:1`, find the value of n.

Text Solution

Verified by Experts

We have, ltBrgt `.^(2n)C_(3):^(n)C_(3)=11:1`
`implies(.^(2n)C_(3))/(.^(n)C_(3))=(11)/(1)`
`implies((2n(2n-1)(2n-2))/(1*2*3))/((n(n-1)(n-2))/(1*2*3))=11implies(4(2n-1))/((n-2))=11`
`implies8n-4=11n-22implies3n=18`
`thereforen=6`
Promotional Banner

Similar Questions

Explore conceptually related problems

If .^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3 , find the values of n and r.

If .^(n)P_(5)=20 .^(n)P_(3) , find the value of n.

If .^(n)P_(3)+.^(n)C_(n-2)=14n , the value of n is

If .^(20)C_(n+1) = ^ (n) C_(16) , then the value of n is

If .^(n)C_(9)=.^(n)C_(7) , find n.

If 2n _(c_3) : n _(c_3) =11:1 find n Also find the value of n

If ""^(n)P_(4) = 24^(n)C_(5) then the value of n=

Determine n if ""^(2n)C_(3):""^(n)C_(3)=11:1

Find n if .^(n)C_(9)=.^(n)C_(5) .

If "" ^(n)C_(5)= ""^(n)C_(10) , then find n ?