Binomial Theorem came out as a 9 marks question in 2009 GCE ‘O’ Level Additional Mathematics Paper (Subject Code: 4038) so you know as well as I do the importance of Binomial.

Read about other useful posts on Binomial Theorems:

• Binomial Expansion Teaches how to choose the RIGHT partner (:

• A-Math Binomial Expansion: Finding Term Independent of x By A Shortcut Method

• Exam Question : Usage of Binomial Formula

I’m looking at the question now. It is testing on the usage of the Binomial formula, including the ‘n choose r’ formula. Many students call this sign: ‘!’ ‘exclamation mark’ which is known correctly as factorial.

I will be using the following question to illustrate how to simplify the ‘n choose r’ formula without memorizing. (I understand some schools want students to memorize)

Let’s begin by understanding what’s ‘n choose r’ all about:

Click on image for larger view

Do you know how to simplify ‘n choose 3′?

Here’s the question which requires us to apply what we have discussed. I would suggest you attempt it on your own before clicking here for the solution.

binomial-question

binomial, factorial sign, o level 2009 Hide

School candidates may collect their results from their schools at 2.00 pm on 11 January 2010. Private candidates will be informed of their results by post. They may also access their results through the Singapore Examinations and Assessment Board website from 2.00 pm on 11 January 2010.

More details here: http://www.moe.gov.sg/media/press/2010/01/o-level-results-jae-jpsae-2010.php

All the best!

o level 2009, o level results Hide