Home
Class 12
MATHS
The value of sum(r=0)^(10)r^(10)Cr3^r(-2...

The value of `sum_(r=0)^(10)r^(10)C_r3^r(-2)^(10-r)` is `20` b. `10` c. `300` d. `30`

A

10

B

20

C

30

D

300

Text Solution

Verified by Experts

The correct Answer is:
c
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise JEE Type Solved Example : (Matching Type Questions )|2 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

Find the value of sum_(r=1)^(10)sum_(s=1)^(10)tan^(-1)(r/s)dot

Find the sum sum_(r=0)^n^(n+r)C_r .

The value of lim_(ntooo)sum_(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

The value of sum_(r=0)^(20)r(20-r)(^(20)C_r)^2 is equal to 400^(39)C_(20) b. 400^(40)C_(19) c. 400^(39)C_(19) d. 400^(38)C_(20)

Find the sum of sum_(r=1)^n(r^n C_r)/(^n C_(r-1) .

The sum sum_(r=0)^n (r+1) (C_r)^2 is equal to :

The vaule of sum_(r=0)^(n-1) (""^(C_(r))/(""^(n)C_(r) + ""^(n)C_(r +1))) is equal to

Prove that: sum_(r=0)^(n) 3^( r) ""^(n)C_(r) = 4^(n) .

The largest real value of x, such that sum_(r=0)^(4) ((5^(4-r))/((4-r)!))((x^(r))/(r!)) = (8)/(3) is

Prove by mathematical induction that sum_(r=0)^(n)r^(n)C_(r)=n.2^(n-1), forall n in N .