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Counting: If group one has N choices, and group two has M choices, then there are N  M ways to choose from group one AND then from group two. And & If group one has N choices, and group two has M choices, then there are N+M ways to choose from group one OR group two. Or Joe’s Lunchbox

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Presentation Transcript
slide1

Counting:

If group one has N choices, and group two

has M choices, then there are NM ways

to choose from group one AND then from

group two.

And

&

If group one has N choices, and group two

has M choices, then there are N+M ways

to choose from group one OR group two.

Or

slide2

Joe’s Lunchbox

  • Cheese
  • Turkey
  • Ham
  • Roast Beef

Sandwiches:

Soups:

  • Matzo Ball
  • Lentil
  • Tomato

How many choices do you have for

soup ___ a sandwich?

slide3

Answer: 7

  • Cheese Sandwich
  • Roast Beef Sandwich
  • Turkey Sandwich
  • Ham Sandwich
  • Matzo Ball Soup
  • Lentil Soup
  • Tomato Soup
slide4

Answer: 12

Matzo Ball Soup

Cheese Sandwich

Roast Beef Sandwich

Turkey Sandwich

Ham Sandwich

Lentil Soup

Tomato Soup

Matzo Ball Soup

Lentil Soup

Tomato Soup

Matzo Ball Soup

Lentil Soup

Tomato Soup

Matzo Ball Soup

Lentil Soup

Tomato Soup

slide5

Strong Passwords

  • At least eight characters.
  • At least one number and one letter.
  • No spaces,”,’,`,& ,(,),|,<,>

How many passwords of five lower-case letters?

26·26·26·26·26=11,881,376

How many passwords of eight lower-case letters?

26·26·26·26·26 ·26·26·26 =208,827,064,576

How many passwords of eight characters that are upper or lower case

letters,0-9,~,!,@,#,$,%,^,*,-,_,=,+,{,},[,],:,;,comma,period,?,\,/?

85·85·85·85·85 ·85·85·85 =2,724,905,250,390,625

(two quadrillion seven-hundred-twenty-four trillion . . .)

slide6

The Incredibly PopularBarb the BratDoll

  • Comes with:
    • Two Hats
    • Two Dresses
    • Three Skirts
    • One Pair Slacks
    • Five Blouses
    • Three Pairs Shoes

How many outfits (grocery store acceptable)

can we make for Barb?

Answer: (2+1)•(2+5•(3+1))•3 = 198

slide7

Joe’s Pizza Place

  • Crusts:
    • Thin
    • Regular
    • Deep Dish
    • Stuffed Crust
  • Sauces:
    • Regular
    • Spicy
  • Meats:
    • Pepperoni
    • Sausage
    • Canadian Bacon
    • Ham
  • Other Toppings:
    • Extra Cheese
    • Mushrooms
    • Green Peppers

All Come in 10”,12” or 16”.

Joe’s Regular – 1 topping

Joe’s Deluxe – 1 meat, 1 other

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