The greatest integer in the expansion of (1+x)^ 2 n+2 is

Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications

1. \(\frac{(2 n)!}{(n!)^{2}}\)
2. \(\frac{(2 n+2)!}{[(n+1)!]^{2}}\)
3. \(\frac{(2 n+2)!}{n!(n+1)!}\)
4. \(\frac{(2 n)!}{n!(n+1)!}\)

Answer

(B) (2 n+2)! [(n+1)!]^ 2

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If n,p N and in the expansion of (1 + x) n the coefficient of p th and (p + 1) th terms are respectively p…
• If the sum of the coefficients in the expansion of (1+2 x)^ n is 6561, then the greatest term in the…
• The greatest value of the term independent of x, as α varies over R, in the expansion of (x + x )^ 20 is :
• In the expansion of ( 1 2 x^ 1 3 +x^ - 1 5 )^ 8 the term independent of x is
• The coefficient of x 18 in the product (1+x)(1-x)^ 1 (1+x+x^ 2 )^ 3 is:
• Given below are two statements. STATEMENT - 1: _ r=n ^ n 1 r+1 ^ n C_ r x ^ r = 1 (n+1) x (1+ x )^ n+1 -1…
• In the expansion of (x^ 3 - 1 x^ 2 )^ 15 , the constant term is :
• The number of ordered pairs (r, k) for which 6 ^ 35 c_ r = (k^ 2 -3 )^ 36 c_ r+1 , where k is an integer, is :

More Binomial Theorem And Its Simple Applications questions · Browse all practice questions