Concluding Probability

The first example we saw was a continuation from yesterday. Here are two more solutions, one using a combination and one using a permutation.

Here's another example showing how to use permutations to find probability. The reason it is a permutation is because the order matters in this case.
This example is a similar question, but order doesn't matter, so we used a combination.
We also received the key for the pretest, so don't forget to prepare for the test tomorrow. Remember that we will be using calculators.

April 23 Screen Shots

Sorry, Icky et al...I didn't export the files to the coursework drive as I normally do....here they are below:

C&P Test Tomorrow

Today's class was spent going over perm&comb questions before tommorrow's big test. (I can't figure out how to post the images from pdf onto Blogspot so if you want to see what Maksymchuk did just go to My Computer>Rsfiles on 'Svrss 2' (J:)>Coursework>Math>2nd Semester Pre-Calculus Grade 12 and then scroll down to find pc40april2308moreperms&combs.)

For more practice, feel free to do the math40s.com Permutations and Combinations exam (with solutions here).

Sincerely,

IB

More Permutations and Combinations

Today we went over more permutations and combinations examples which was excellent. Pictured below are examples that explain clearly the difference between perms and coms. Of course, the most important thing to remember is that order matters in permutations so there are no 'doubles', while in combinations order doesn't matter. Thus, we "divide out the doubles", to speak Mr. Max's talk.

These slides show some "tricks" that are very useful for the questions in the exercises. The first is when there are identical objects. The idea is that you find all the options, then divide out wherever there are repeats, like in the word AARDVARK, where there is a repeat of 3 and a repeat of 2.
http://www.cbc.ca/parents/showPics/arthur.jpg
This trick is in regard to circular permutations. The reasoning is that a circle has no beginning or end, which changes the rule. Also note the special rule for 3-D circles.

The third trick is in reference to when objects, usually people, must be or cannot be beside each other. For example, how can we seat the 4 Grade 12 precalculus girls if Anna must be beside Bethany and must not be beside Amy? Or, how many ways can we seat those same girls so that they won't disrupt the whole class?



Anyways, the big news in class today is that the test is going to be moved to Thursday, April 24. This will give us another day to work on the exercises as well as the pretest.


Sometime this week we should also be recieving hard copies of some old exams. These will be great study material and should answer a lot of the questions we have about the exam.

Just a note, I was watching the hockey game (which Montreal won, by the way),and I heard Ron McLean use the word permutation. And I understood what he meant! So that was a bit of a eureka moment and an application of math in real life.

So class started with Max showing off his new technology's tricks:

Whatever floats your boat i guess hey Max? ....

This just shows the formulas for getting rid of the doubles.

Those are examples of the F.C.P.

Those are different ways of writing "p not".. or the probability of an event not happening.

Another F.C.P.

This is the additive principle. Basically it's just using the F.C.P. but breaking it up into all the different kinds of possibilities that you can get then adding them together to get the total answer.

Examples of the additive principle..

And finally.. homework(to be checked sometime next week before the test).

If anyone has some spare time on their hands click here now...

http://www.imageyenation.com/?itemid=1950

Happy Darlene Day!

Class started with a homework check, then since it was a short block we got straight to business.









Today Max taught perms and combs( not the ones having to do with hair).




Above is just the "basics" of what were sposed to already know, on the top half of the page, and on the bottom is the definiton of the Fundamental Counting Principle.



This very sad bear is an example of combinations, How many outfits does the bear have?..Answer is 6.. not five.. you multiply the # of shirts by the # of pants.


This explains factorial notation.. the example he said was that 5! does not mean 5(said really loudly) but instead means 5x4x3x2x1 or 120.


Those are differences between permutations and combinations. One of the main points there is to remember that with permutations ORDER DOES MATTER, and with combinations ORDER DOESN'T MATTER.



And, of course, class ended with homework.

If it relieves anyone's stress note that he is NOT checkin tomorrow.

And finally i'd like you to meet a friend of mine..

Peace out