Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
- Evaluate the following : ""^12C0+""^12C1+""^12C2+ ....... +""^12C12.
Text Solution
|
- Evaluate the following : ""^12C0+""^12C2+""^12C4 +""^12C12.
Text Solution
|
- Evaluate the following : ""^16C1+""^16C3+""^16C5+ ....... +""^16C15.
Text Solution
|
- Prove that underset (r=0) overset (n) sum 3^r ""^nCr =4^n.
Text Solution
|
- Prove that ""^nC0+3""^nC1+5""^nC2+........+(2n+1)""^nCn= (n+1)2^n.
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : C0-...
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : (1+...
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : C0-...
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : C0+...
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : 2C0...
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : 2C0...
Text Solution
|
- If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx^n prove the following : C0C...
Text Solution
|
- Prove that C0Cr+C1 C(r+1)+ C2 C(r+2)+...............+c(n-r) Cn=((2n)!...
Text Solution
|
- Find the coefficient of x^(n-r) in the expansion of (x+1)^n (1+x)^n. ...
Text Solution
|
- Find the coefficient of x^4 in the expansion of (1+x)^n (1-x)^n. Deduc...
Text Solution
|
- Write and simplify the term involving a^2b^5 in (a-2b)^4 (a+b)^3.
Text Solution
|
- Expand using binomial theorem (1+x/2-2/x)^(4), x ne 0
Text Solution
|
- Find an approximation of (0.99)^5 using the first three terms of its e...
Text Solution
|
- If 6th, 7th, 8th and 9th terms of (x+y)^n are a, b,c and d respectivel...
Text Solution
|
- Find the coefficient of x^10 in the expansion of : (1+x+x^2+x^3 +........
Text Solution
|