Math 30 - 1

1. BANANAS
2. # of ways to arrange 3R, 2B, 1G, 2Y where blues are NOT together

1. 1. 4B, 4G - Must Alternate
2. 2. 4B, 4G - 3 MUST sit together
3. 3. 5 kids, 2 parents - MUST sit in middle

1. LEMONS

   Annotations:

   • 6! (Fundamental Counting Principle... back to grade 11... eg... 6x5x4x3x2x1 assumes no letter can repeat)
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!)
3. Why are letters similar to (car) colors?

1. What is your criteria? Suits (4), Face Value (12), Color (26) etc.
2. How many ways are there to arrange - 3 diamonds, and 2 black cards?
3. pick or choose? -

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.