Page 36 -- #5a 224 and #5b. 80
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Corrections in Nelson Workbook Unit 2.4
Corrections in Nelson Workbook Unit 2.4
Re: Corrections in Nelson Workbook Unit 2.4
I got 224 for a. But I got the original answer from Nelson of 95 for B.
I understand how to do the grids where they are touching at the corners...but when they "overlap" like in B I'm not sure how I do it...
What I did was I pictured the question being similar to a) by cutting out the 4 squares on the bottom right. Then I did it as I did a and went (6!/4!2!)*(4!/3!) and I got 60. Then I added all the ways it would take to do the right rectangle (the 3 by 4 rectangle)) which was 7!(4!3!) = 35. Which gives me 95.
How are you getting 80? (I really hate this chapter.... it was my worst topic when I was in high school.. lol)
Re: Corrections in Nelson Workbook Unit 2.4
I'm pretty sure the only way to solve overlapping grids is by using Pascal's Triangle... but overlapping grids aren't curriculum anyways as far as I know...
I found a nice worksheet/lesson one day when I was searching online. here's the link and go to lesson 3 - "Pathways" It's a great handout for the students for an intro and also for some challenging grids too.
http://www.bmlc.ca/PureMath30/Pure%20Math%2030%20-%20Permutations%20and%20Combinations.html
Re: Corrections in Nelson Workbook Unit 2.4
For 5b on page 36 of the Nelson workbook I did the repetition method
10! divided by 7!3! = 80
Also in regards to these types of questions please click on the link below to take you to some important information that I discovered last year.
http://learning.arpdc.ab.ca/mod/forum/discuss.php?d=514