Math 30 - 1

Math 30 - 1

1. Perms and Coms

   • Things I (most students) get Caught on
     • 1. Link between "Fundamental Counting Principle", probability and # of ways to arrange something
     • 2. *Repeating items - what is unique about COLORS or Letters
       • BANANAS
       • # of ways to arrange 3R, 2B, 1G, 2Y where blues are NOT together
   • Common Types of Questions
     • Seating
       • 1. 4B, 4G - Must Alternate
       • 2. 4B, 4G - 3 MUST sit together
       • 3. 5 kids, 2 parents - MUST sit in middle
     • Arrange a Word
       • LEMONS
         • 6! (Fundamental Counting Principle... back to grade 11... eg... 6x5x4x3x2x1 assumes no letter can repeat)
       • BANANAS
         • 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!)
       • Why are letters similar to (car) colors?
     • Cards
       • What is your criteria? Suits (4), Face Value (12), Color (26) etc.
       • How many ways are there to arrange - 3 diamonds, and 2 black cards?
       • pick or choose? -
     • Picking from a group - e.g. of breakfast options, grade 12s and 11s, boy and girls
       • 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. 
     • When do you uses "cases" or ADDITION in perms and coms

2. Logs