Math 30 - 1

Lauren Jatana
Mind Map by Lauren Jatana, updated more than 1 year ago
Lauren Jatana
Created by Lauren Jatana about 4 years ago
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study for diploma. Overview of course
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Math 30 - 1
1 Perms and Coms
1.1 Things I (most students) get Caught on
1.1.1 1. Link between "Fundamental Counting Principle", probability and # of ways to arrange something
1.1.2 2. *Repeating items - what is unique about COLORS or Letters
1.1.2.1 BANANAS
1.1.2.2 # of ways to arrange 3R, 2B, 1G, 2Y where blues are NOT together
1.2 Common Types of Questions
1.2.1 Seating
1.2.1.1 1. 4B, 4G - Must Alternate
1.2.1.2 2. 4B, 4G - 3 MUST sit together
1.2.1.3 3. 5 kids, 2 parents - MUST sit in middle
1.2.2 Arrange a Word
1.2.2.1 LEMONS

Annotations:

  • 6! (Fundamental Counting Principle... back to grade 11... eg... 6x5x4x3x2x1 assumes no letter can repeat)
1.2.2.2 BANANAS

Annotations:

  • 7! to arrange bananas. BUTTTTT my eyes can tell the difference between the first and second and third A - so those combos look the same to me. SO we must divide out the repeating numbers. 3 A's and 2 N's. 7! / (3! 2!)
1.2.2.3 Why are letters similar to (car) colors?
1.2.3 Cards
1.2.3.1 What is your criteria? Suits (4), Face Value (12), Color (26) etc.
1.2.3.2 How many ways are there to arrange - 3 diamonds, and 2 black cards?
1.2.3.3 pick or choose? -
1.2.4 Picking from a group - e.g. of breakfast options, grade 12s and 11s, boy and girls

Annotations:

  • You can do 6C2 * 5C1 multiplication IF AND ONLY IF - you are picking from distinct baskets. E.g. Picking entree basket, drinks basket, dessert basket. 
1.2.5 When do you uses "cases" or ADDITION in perms and coms
2 Logs
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