The total number of terms in the expansion of \( (x + a)^{100} + (x - a)^{100} \) after simplification is
50
202
51
none of these
Given the integers \(r > 1, n > 2\), and coefficients of \((3r)^{th}\) and \((r+2)^{nd}\) terms in the binomial expansion of \((1 + x)^{2n}\) are equal, then
\(n = 2r\)
\(n = 3r\)
\(n = 2r + 1\)
none of these
The two successive terms in the expansion of \((1 + x)^{24}\) whose coefficients are in the ratio 1:4 are
3rd and 4th
4th and 5th
5th and 6th
6th and 7th
The coefficient of \(x^{n}\) in the expansion of \((1 + x)^{2n}\) and \((1 + x)^{2n-1}\) are in the ratio
1 : 2
1 : 3
3 : 1
2 : 1
If the coefficients of 2nd, 3rd and the 4th terms in the expansion of \((1 + x)^{n}\) are in A.P., then value of \(n\) is
2
7
11
14
Choose the correct statement regarding the binomial identities (question text from source).
Option A
Option B
Option C
Option D
Choose the correct statement regarding the binomial identities (question text from source).
Option A
Option B
Option C
Option D