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