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11. Binomial Theorem & Mathematical Induction question bank (Maths)

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Q1.

\[
\begin{aligned}
&\text{Set of value of } r \text{ for which } ~^{18}C_{r-2} + 2 \cdot {^{18}C_{r-1}} + {^{18}C_{r}} \geq {^{20}C_{13}} \text{ contains:}\\
&

(A)

~4~\text{elements}\\
&

(B)

~5~\text{elements}\\
&

(C)

~7~\text{elements}\\
&

(D)

~10~\text{elements}

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Q2.

\[
\begin{array}{l}
\text{The expression } [\, x + (x^{3} - 1)^{1/2} ]^{5} + [\, x - (x^{3} - 1)^{1/2} ]^{5} \text{ is a polynomial of degree:} \\

\end{array}
\]

(A)

~5 \\

(B)

~6 \\

(C)

~7 \\

(D)

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