OCR MEI C1 2012 June — Question 6 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2012
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion coefficient
DifficultyModerate -0.8 This is a straightforward binomial theorem question requiring only direct application of formulas. Part (i) is simple combination calculation, and part (ii) is a standard textbook exercise using the binomial expansion formula with no problem-solving or insight required. The low mark allocation (5 marks total) confirms its routine nature, making it easier than average.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n1.04b Binomial probabilities: link to binomial expansion

  1. Evaluate \(^5C_3\). [1]
  2. Find the coefficient of \(x^3\) in the expansion of \((3 - 2x)^5\). [4]

\begin{enumerate}[label=(\roman*)]
\item Evaluate $^5C_3$. [1]
\item Find the coefficient of $x^3$ in the expansion of $(3 - 2x)^5$. [4]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1 2012 Q6 [5]}}