Home
Class 12
MATHS
The value of the expression (sum(r=0)^1...

The value of the expression `(sum_(r=0)^10 "^10 C_r)(sum_(k=0)^10 (-1)^k (^10 C_k)/2^k)` is :

A

1

B

`2^(5)`

C

`2^(10)`

D

`2^(20)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

The value of the expression (sum_(r=0)^(10)C_(r))(sum_(k=0)^(10)(-1)^(k)(^^10C_(k))/(2^(k))) is :

The value of the expression log_(2)(1+(1)/(2) sum_(k=1)^(11) ""^(12)C_(k)) :

The value of sum_(r=2)^(10) ""^(r)C_(2).""^(10)C_(r) is

sum_(r=0)^(10) r.^(10)C_(r),3^(r).(-2)^(10-r) is -

sum_(k=0)^20(.^20C_k)^2 = ?

Sum of all coefficient of different power of x in the expansion sum_(r=0)^(10)('^10)C_(r)(x-3)^(r)4^(10-r) will be

sum_(k=0)^(20)(.^(20)C_(k))^(2) is equal to