Home
Class 7
MATHS
If C(n,3):C(n,2)=44:3, find n....

If `C(n,3):C(n,2)=44:3`, find n.

Text Solution

Verified by Experts

Given
`2n_(C_3)​/(n_(C_2))​=44/3`
=`((2n!)/(3!(2n−3)!)):((n!)/(2!(n−2)!))=44/3`
=`(2n!(n−2)!​)/(3(2n−3)!n!)=44/3`
​ =`(2n.(2n−1).(2n−2)​)/(n.(n−1))=44`
=`4(2n−1)=4xx(2xx6−1)`
=`n=6`
Promotional Banner

Similar Questions

Explore conceptually related problems

if C(2n,3):C(n,2)=44:3 find n

If C(2n,3):C(n,2)=20:3 then find n

If ^(2n)C_(3):^(n)C_(2)=44:3,f in dn

If "^(n)C_(n-3) = 120 , find n.

C_(3)^(2n):C_(3)^(n)= 44:5 , find the value of n .

If .^(2n)C_(3):^(n)C_(2)=44:3 , then the value of .^(6)C_(n) will be -

If .^(2n)C_(3):^(n)C_(2)=44:3 , for which of the following value of r , the value of .^(n)C_(r) will be 15.

If .^(2n)C_(3):^(n)C_(2)=44:3 , for which of the following value of r , the value of .^(n)C_(r) will be 15.

If .^(2n)C_(3):^(n)C_(2)=44:3 , for which of the following value of r , the value of .^(n)C_(r) will be 15.

If .^(2n)C_(3):^(n)C_(2)=44:3 , for which of the following value of r , the value of .^(n)C_(r) will be 15.