Binomial TheoremHard
Question
The value of 
+.......+ 
is, where nCr = 
+.......+ is, where nCr = Options
A.
B.
C.
D.
Solution
50C0 × 50C1 + 50C1 × 50C2 +......+ 50C49 × 50C50
= 50C0 × 50C49 + 50C1 × 50C48 + ...........+ 50C49 × 50C0
= co-eff. of x49 in (1 + x)100 = 100C49
= 50C0 × 50C49 + 50C1 × 50C48 + ...........+ 50C49 × 50C0
= co-eff. of x49 in (1 + x)100 = 100C49
Create a free account to view solution
View Solution FreeMore Binomial Theorem Questions
If (5 + 2√5)n = I + ƒ, where I ∈ N, n ∈ N and 0 ≤ ƒ ≤ 1, then I equals -...The value of the expression is ....If sum of all the coefficients in the expansion of (x3/2 + x-1/3) n is 128, then the coefficient of x5 is -...The remainder when 599 is divides by 13 is -...The greatest coefficient in the expansion of (1 + x)10 is...