Differentiation to Solve Modified Sum of Binomial Coefficients
Trending Questions
Q.
How do you evaluate ?
Q.
Find the value of nC1+2nC2+3nC3.........nnCn
n⋅2n
(n−1)2n
(n−1)2n−1
n⋅2n−1
Q. The value of 10∑r=2 rC2⋅ 10Cr is not divisible by
- 10
- 5
- 7
- 3
Q. Statement-1: ∑nr=0(r+1)nCr=(n+2)2n−1.
Statement-2: ∑nr=0(r+1)nCrxr=(1+x)n+nx(1+x)n−1.
Statement-2: ∑nr=0(r+1)nCrxr=(1+x)n+nx(1+x)n−1.
- Statemet -1 is false, Statement - 2 is ture
- Statemet -1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
- Statement -1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1
- Statement -1 is true, Statement -2 is false
Q. Remainder when (2)1004 is divided by 17 is
- 14
- 16
- 7
- 10
Q. If (1+x)15=C0+C1x+C2x2+......+C15x15, then C2+2C3+3C4+......+14C15=
- 14.214
- 13.214+1
- 13.214−1
- None of these
Q.
Solve the following numerical problems.
Convert:-