Binomial Expansions

Year 1  »  Pure

Year 1
Binomial Expansions

1. Introduction1.1 Overview

Basics

2. Simple Binomial Expansions2.1 Key Facts2.2 Example2.3 Example2.4 Example

Extras

4. Extras4.1 Extras!



3.4 Quickfire Questions

Instructions

Answer the following quickfire questions (these are on the printed sheet).
Check your answers using the ✓ buttons.

Questions

Suggested Time: 5m

Resources:

Sections 2-3:  Notes

(a)
Use your calculator to evaluate the following:
✓
(i)
\(\left( {\begin{array}{*{20}{c}}8\\3\end{array}} \right)\)
\(\color{#3fcbbf}{=56}\)
✓
(ii)
\(^{15}{C_{\,5}}\)
\(\color{#3fcbbf}{=3003}\)
✓
(iii)
\(^{15}{C_{\,2}}\)
\(\color{#3fcbbf}{=105}\)
(b)
Use your answers to part (a) to write down the value of:
✓
(i)
\(^{15}{C_{\,13}}\)
\(\color{#3fcbbf}{=\ ^{15}{C_{\,2}}\,=105}\)
✓
(ii)
\(\left( {\begin{array}{*{20}{c}}15\\10\end{array}} \right)\)
\(\color{#3fcbbf}{=\left( {\begin{array}{*{20}{c}}15\\5\end{array}} \right)=3003}\)

Extra Support:


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