Binomial Theorem Flashcards
1
Q
n!
A
n(n-1)(n-2)(n-3)….(2)(1)
2
Q
nCr definition
A
It represents no of ways of selecting r things out of n-different things.
n!/(r!(n-r)!)
3
Q
nCr = nCn-r
A
4
Q
nCr + nCr-1
A
n+1Cr
5
Q
(x+y)^n =
A
ΣnCrx^(n-r)y^r
6
Q
rth term from end is
A
rth term from beginning after revising the expansion
7
Q
No. of terms in (1+x)^n and (1-x)^n
A
n+1 terms
8
Q
Submission of binomial Coefficient
A
2^n, where n= number of terms
9
Q
C0-C1+C2-C3….(-1)^nnCn
A
Σ(-1)^rnCr
10
Q
C0+C2+C4+.. = C1+C3+C5…
A
2^(n-1)
11
Q
The sum of coefficient
A
Replace variable by 1
12
Q
The sum of binomial Coefficient
A
Replace terms by 1
