1
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
The sum $$\sum\limits_{i = 0}^m {\left( {\matrix{
{10} \cr
i \cr
} } \right)\left( {\matrix{
{20} \cr
{m - i} \cr
} } \right),\,\left( {where\left( {\matrix{
p \cr
q \cr
} } \right) = 0\,\,if\,\,p < q} \right)} $$ is maximum when $$m$$ is
2
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
In the binomial expansion of $${\left( {a - b} \right)^n},\,n \ge 5,$$ the sum of the $${5^{th}}$$ and $${6^{th}}$$ terms is zero. Then $$a/b$$ equals
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
For $$2 \le r \le n,\,\,\,\,\left( {\matrix{
n \cr
r \cr
} } \right) + 2\left( {\matrix{
n \cr
{r - 1} \cr
} } \right) + \left( {\matrix{
n \cr
{r - 2} \cr
} } \right) = $$
4
IIT-JEE 1999
MCQ (Single Correct Answer)
+2
-0.5
If in the expansion of $${\left( {1 + x} \right)^m}{\left( {1 - x} \right)^n},$$ the coefficients of $$x$$ and $${x^2}$$ are $$3$$ and $$-6$$ respectively, then $$m$$ is
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Questions Asked from Mathematical Induction and Binomial Theorem (MCQ (Single Correct Answer))
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