The sum r C r + r+1 C r + r+2 C r + ... + n C r (n > r) equals
Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications
The sum rCr + r+1Cr + r+2Cr + ... + nCr (n > r) equals
- nCr+1
- n+1Cr+1
- n+1Cr–1
- n+1Cr
Answer
(B) n+1 C r+1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let 5_ n =1+q+q^ 2 + +q^ n and T_ n =1+ ( q+1 2 )+ ( q+1 2 )^ 2 + + ( q+1 2 )^ n where q is a real number and…
- The co-efficient of x in the expansion of (x^ 2 + c x )^ 5 is equal to :
- a, b, c, d are any four consecutive co-efficients of any binomial expansion, then a + b a , ~b + c ~b , c + d…
- The term void of x in the expanion of (x- 3 x^ 2 )^ 8 is
- If the fourth term in the expansion of ( ax + 1 x )^ n is 5/2. Then find the value of a and n ?
- If the last term in the expansion of (z^ 1 / 3 +z^ -1 / 2 )^ n is ( 1 3(9)^ 1 / 3 )^ _ 3 ~A C , then the…
- If n is not a multiple of 3, then the coefficient of x n in the expansion of _ r [1+x+x^ 2 ] is :
- The ninth term of the expansion (3 x- 1 2 x )^ is
More Binomial Theorem And Its Simple Applications questions · Browse all practice questions