The sum of binomial coefficient is
n
n/2
2n
n2
nc0 - 1/2 nc1 + 1/3 nc2 - ........ + (-1)n is equal to
1/n
1/(n+1)
1/(n-1)
The sum of the coefficient in the expansion of (1+x - 3 x2)2163 will be
0
1
-1
22163
If (1 + a x)n = 1 + 8 x + 24 x2 + ........ then the value of a and n is
2, 4
2, 3
3, 6
1, 2
The remainder when 22006 + 2007 is divided by 17 is
11
13
14
7
Cube root of 217 is
6.01
6.04
6.02
None of these
The number of terms in the expansion (√3 + √5)7 + (√3 - √5)7 is
4
8
5
3
10n + 3.4n + 2 + 5 is divisible by
9
15
The coefficient of rth and (r + 4)th terms are equal in the expansion of (1 + x)20 then the value of r will be
10
If Cr = , then is equal to
