Sum and Product Rules

Theproduct ruleprovides a way to countntuples created from pairing items in sets.

In contrast, thesum ruleis applied when there are multiple choices from different setsbut only one selection is made.

1.How many 5 card hands have 4 cards of the same rank?

A five-card hand is just a subset of 5 cards from a deck of 52 cards.

is it?

48

1348=624

413=52

or4/13

2. How many breakfast dishes can be created?

Customers at a diner have the following choices

• One ,two, or three eggs
• Sausage Links, Sausage Patties, Bacon, Corned Beef Hash
• Pancakes, French Toast, Waffle
• Fruit or Potatoes

customers choose one item from any (or all) of the categories.theyalso have the option to skip a category (if they do not want to eat any carbohydrates, or do not eat meat, etc...)

how do you solve the problem?

is it?

3+4+3+2=12

4+5+4+3=16

3432=72

or 4543=240

just providing all information needed to solve questios