A Level Maths Resource Site

Elegance articulated.



Post a Comment


Oops, you forgot something.


The words you entered did not match the given text. Please try again.

Already a member? Sign In


4:40 AM on May 14, 2015 
i need comprehensive materials for a level mathematics.puremaths,statistics1and mechanics1
8:02 AM on October 1, 2014 
i love and like this site for my teaching materials
Reply White Group Mathematics
9:13 AM on August 30, 2014 
Hi Shirley, you are most welcome. Wishing you a Happy Teacher's Day in advance. Best wishes for your family and god bless.
Reply Shirley
10:57 PM on August 24, 2014 
Thank you so much for such valuable resource. You have saved me time to spend with my children...
From a grateful Mom/Teacher
10:33 AM on May 27, 2014 
i love teaching mathematics in all levels
Reply Ram Sah
8:03 PM on February 14, 2014 
thank u very much for your great work i m grateful to u n salute you plz keep it up
Reply aimen
2:26 PM on December 8, 2013 
I can't even believe i found this .. Pure treasure this is .. Thankyou soo much for this may god bless you and give you all the happiness of this world and the hereafter! Ei will be even more greatfull if you inlude summaries. And supplements for co ordinate geometry, discrete ramdom variable and quadratics.. :D tysm again
Reply White Group Mathematics
8:15 PM on November 10, 2013 
Hi Oliver, appreciate your encouraging comments. This site will be up and running as long as I am around. Peace.
Reply Oliver
10:01 AM on November 10, 2013 
I found your notes very useful, please keep this site up for all the other students who need help. Thanks :)
Reply White Group Mathematics
12:56 PM on March 5, 2013 
Hi Ryan, thank you for your kind words.

Regarding your PnC question, I will get you started off:

Because the 5 blocks are distinctly labelled, despite them being placed in a circular fashion, permutation is conducted as if the blocks exist in a row format.

For (a), each of the five blocks can be painted a possible colour out of the available 4,
which means block A can be painted in 4 different ways, B can be painted in 4 different ways, ............. etc, ie this applies to the rest of the blocks. Hence total number of ways would simply be equal to (4)^5 =1024 ways (shown)

For (b), you may wish to consider the instances when both blocks A and B are painted with the same colour (try imagining them as a single unit to simplify matters), and subtract the possible number of ways this can happen from the answer you have in (a).

For (c), consider the total number of cases involved in situations where only 1, 2 or 3 colours are used in painting the blocks. (For example, when 1 colour is used for all 5 blocks, there are only 4 possible scenarios ). Once you have that, subtract this total from the answer in (a).

Hope this helps. Peace.