Home
Class 10
MATHS
.^(n)C(3)=...

`.^(n)C_(3)`=___

A

n!

B

1

C

nn

D

n

Text Solution

Verified by Experts

Use, `n^(n)C_(r)=(n!)/((n-r)!)`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If n objects are arrange in a row,then the number of ways of selecting three of these objects so that no two of them are next to each other is a.^(n-2)C_(3) b.^(n-3)C_(2) c.^(n-3)C_(3) d.none of these

If ^(n+1)C_(3)=2.quad ^(n)C_(2) then =3 b.4c.6d.5

""^(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 (1+a)^(n)=.^(n)C_(0)+.^(n)C_(1)a+.^(n)C_(2)a^(2)+ . . +.^(n)C_(n)a^(n) , then prove that .^(n)C_(1)+2.^(n)C_(2)+3.^(n)3C_(3)+ . . .+n.^(n)C_(n)=n.2^(n-1) .

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

The greatest value of n for which the determinant Delta = |(1,1,1),(.^(n)C_(1),.^(n+3)C_(1),.^(n+6)C_(1)),(.^(n)C_(2),.^(n+3)C_(2),.^(n+6)C_(2))| is divisible by 3^(n) , is

If ""^(n-1)C_(3)+""^(n-1)C_(4)gt""^nC_(3) , then