Home
Class 12
MATHS
If ([""^(n)C(r) + 4*""^(n)C(r+1) + 6*""...

If ` ([""^(n)C_(r) + 4*""^(n)C_(r+1) + 6*""^(n)C_(r+2)+ 4*""^(n)C_(r+3) + ""^(n)C_(r+4)])/([""^(n)C_(r) + 3. ""^(n)C_(r+1)+ 3*""^(n)C_(r+2) + ""^(n)C_(r +3)])=(n + lambda)/(r+lambda)`
the value of ` lambda ` is

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Similar Questions

Explore conceptually related problems

""^(n)C_(n-r)+3.""^(n)C_(n-r+1)+3.""^(n)C_(n-r+2)+""^(n)C_(n-r+3)=""^(x)C_(r)

If ""^(n)C_(8)=""^(n)C_(2) , find ""^(n)C_(2) .

If ""^(n)C_(9)=""^(n)C_(8) , find ""^(n)C_(17) .

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

If .^(15)C_(3r)=.^(15)C_(r+3), find .^(r)C_(2) .

Determine n if ""^(2n)C_(3):""^(n)C_(3)=12:1 .

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

Prove that , ""^nP_r = ""^((n-1))Pr + r. ""^(n-1)P_((r-1))