1.1.1 1. Link between "Fundamental Counting
Principle", probability and # of ways to arrange
1.1.2 2. *Repeating items - what is unique about
COLORS or Letters
126.96.36.199 # of ways to arrange 3R, 2B, 1G, 2Y
where blues are NOT together
1.2 Common Types of Questions
188.8.131.52 1. 4B, 4G - Must Alternate
184.108.40.206 2. 4B, 4G - 3 MUST sit together
220.127.116.11 3. 5 kids, 2 parents - MUST sit in middle
1.2.2 Arrange a Word
6! (Fundamental Counting Principle... back to grade 11... eg... 6x5x4x3x2x1 assumes no letter can repeat)
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!)
18.104.22.168 Why are letters similar to (car) colors?
22.214.171.124 What is your criteria? Suits (4), Face Value (12), Color (26) etc.
126.96.36.199 How many ways are there to arrange - 3 diamonds, and 2 black cards?
188.8.131.52 pick or choose? -
1.2.4 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.
1.2.5 When do you uses "cases" or
ADDITION in perms and coms