Binomial Theorem

Question 1

n!

Answer 1

n(n-1)(n-2)(n-3)….(2)(1)

Question 2

nCr definition

Answer 2

It represents no of ways of selecting r things out of n-different things.
n!/(r!(n-r)!)

Question 3

nCr = nCn-r

Question 4

nCr + nCr-1

Answer 4

n+1Cr

Question 5

(x+y)^n =

Answer 5

ΣnCrx^(n-r)y^r

Question 6

rth term from end is

Answer 6

rth term from beginning after revising the expansion

Question 7

No. of terms in (1+x)^n and (1-x)^n

Answer 7

n+1 terms

Question 8

Submission of binomial Coefficient

Answer 8

2^n, where n= number of terms

Question 9

C0-C1+C2-C3….(-1)^nnCn

Answer 9

Σ(-1)^rnCr

Question 10

C0+C2+C4+.. = C1+C3+C5…

Answer 10

2^(n-1)

Question 11

The sum of coefficient

Answer 11

Replace variable by 1

Question 12

The sum of binomial Coefficient

Answer 12

Replace terms by 1