Home
Class 12
MATHS
sum(i=0)^(n)sum(j=0)^(n)sum(k=0)^(n)((n)...

`sum_(i=0)^(n)sum_(j=0)^(n)sum_(k=0)^(n)((n),(i))((n),(j))((n),(k)),((n),(r))=""^(n)C_(r)`:

A

is less than 500 if n = 3

B

is greater than 600 if n = 3

C

is less than 5000 if n = 4

D

is greater than 4000 if n = 4

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • BIONMIAL THEOREM

    VK JAISWAL|Exercise Exercise-3 : Matching Type Problems|3 Videos

  • BIONMIAL THEOREM

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|15 Videos

  • BIONMIAL THEOREM

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|15 Videos

  • AREA UNDER CURVES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

sum_(j=1)^(n)sum_(i=1)^(n)i=

sum_(i=0)^(n)sum_(j=0)^(m)*^(n)C_(i)*C_(j) is equal to

If sum_(r=0)^(n)(2r)/(C(n,r))=sum_(r=0)^(n)(n^(3)-3n+3)/(C)(n,r)

The value of sum_(r=0)^(n)sum_(s=0)^(n)sum_(0)^(n)sum_(t=0)^(n)sum_(u=0)^(n)(1) is

Prove that : sum_(i=0)^r((n+i),(k))=((n+r+1),(k+1))-((n),(k+1))

If sum_(r=1)^(n)t_(r)=sum_(k=1)^(n)sum_(j=1)^(k)sum_(i=1)^(j)2, then sum_(r=1)^(n)(1)/(t_(r))=

If sum_(r=0r=0)^(n){(C(n,r-1))/(C(n,r)+C(n,r-1))}^(3)=(25)/(24)

Statement 1:sum_(0<=i<=j)sum_(<=n)C(n,i)C(n,j)=2^(2n)-C(2n,n) Statement 2:(sum_(r=0)^(n))C(n,r))^(2)=sum_(r=0)^(n)(C(n,r))^(2)+2sum_(0<=i<=j)sum_(<=n)C(n,i)C(n,j)

sum_(0<=i