The value of (.^(21)C(1) - .^(10)C(1)) +...

The value of `(.^(21)C_(1) - .^(10)C_(1)) + (.^(21)C_(2) - .^(10)C_(2)) + (.^(21)C_(3) - .^(10)C_(3)) + (.^(21)C_(4) - .^(10)C_(4)) + … + (.^(21)C_(10) - .^(10)C_(10))` is

`2^(21)-2^(11)`

`2^(21)-2^(10)`

`2^(20)-2^(9)`

`2^(20)-2^(10)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATHEMATICAL INDUCTION AND BINOMIAL THEOREM
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
MATHEMATICAL INDUCTION AND BINOMIAL THEOREM
MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos
LIMITS AND CONTINUITY
MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos
MATHEMATICAL REASONING
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

Find the value of (.^(10)C_(10))+(.^(10)C_(0)+.^(10)C_(1))+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2))+"...."+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2)+"....." + .^(10)C_(9)) .

The value of (^21C_1-^10C_1)+(^21C_2-^10C_2)+....+(^21C_(10)-^10C_(10)) is

2.^(10)C_(0)-^(10)C_(1)-^(10)C_(2)+2*^(10)C_(3)-^(10)C_(4)-^(10)C_(5)+2*^(10)C_(6)-^(10)C_(7)-^(10)C_(8) +2*^(10)C_(9)-^(10)C_(10)=

" 6.Find the value of "^(10)C_(5)+2*^(10)C_(4)+^(10)C_(3)

Evaluate : 2^(10)C_(0)+(2^(2).^(10)C_(1))/(2)+(2^(3).^(10)C_(2))/(3)+ . . .+(2^(11).^(10)C_(10))/(11)

^10(C_(0))^(2)-^(10)(C_(1))^(2)+^(10)(C_(2))^(2)-......-(^(10)C_(9))^(2)+(^(10)C_(10))^(2)=

Find the sum 2..^(10)C_(0) + (2^(2))/(2).^(10)C_(1) + (2^(3))/(3).^(10)C_(2)+(2^(4))/(4).^(10)C_(3)+"...."+(2^(11))/(11).^(10)C_(10) .

In the expansion off (1+x)^(10)=.^(10)C_(0)+.^(10)C_(1)x+.^(10)C_(2)x^(2)+ . . .+.^(10)C_(10)x^(10) , then value of 528[(.^(10)C_(0))/(2)-(.^(10)C_(1))/(3)+(.^(10)C_(2))/(4)-(.^(10)C_(3))/(5)+ . . .+(.^(10)C_(10))/(12)] is equal to________.

Evaluate: .^(20)C_(5)+^(20)C_(4)+^(21)C_(4)+^(22)C_(4)

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers

FOr xin r, x != -1 , If (1+x)^(2016)+x(1+x)^(215)+x^2(1+x)^(2014)+...
Text Solution
|
If the coefficients of x^-2 and x^-4 the expansion of (x^(1/3) +1/(2x^...
Text Solution
|
The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...
Text Solution
|
If (27)^999 is divided by 7, then the remainder is .
Text Solution
|
The coefficient of x^(-5) in the binomial expansion of ((x +1)/(x^(2/3...
Text Solution
|
The sum of the coefficients of all odd degree terms in the expansion o...
Text Solution
|
If n is the degree of the polynomial, [2/(sqrt(5x^3+1)-sqrt(5x^3-1))]^...
Text Solution
|
The coefficient of x^(10) in the expansion of (1+x)^(2)(1+x^(2))^(3)(1...
Text Solution
|
The coefficient of x^(2) in the expansion of the product (2-x^(2))(1+2...
Text Solution
|
Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...
Text Solution
|
The total number of irrational terms in the binomial expansion of (7^(...
Text Solution
|
If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...
Text Solution
|
The coefficient of t^4 in the expansion of ((1 - t^6)/(1-t))^(3) is 3k...
Text Solution
|
If the third term in the binomial expansion of (1+x^(log(2)x))^(5) equ...
Text Solution
|
The positive value of lambda for which the co-efficient of x^2 in the ...
Text Solution
|
The sum of the real values of x for which the middle term in the bin...
Text Solution
|
Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...
Text Solution
|
The sum of the series 2.""^(20)C0+5.""^(20)C1+8.""^(20)C2+11.""^(20)C(...
Text Solution
|
The sum of the coefficients of all even degree terms is x in the expan...
Text Solution
|
If the fourth term in the binomial expansion of (sqrt ((1)/(x ^( 1 ...
Text Solution
|