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    Multiplication Counting Principle

    The multiplication counting principle states that there are n ways to order n things.
    This Page: counting multiple items
    Related pages: permutations lesson|combination lesson | combinations vs permutations
      Counting More than One Item 
    If there are m ways to make a first selection and n ways to make a second selection, there are  m × n ways to make the two selections.
      Consider the following example: For lunch you can eat either a turkey sandwich, a cheeseburger or a slice of pizza so you have three choices for your main meal. Then for dessert, you can have either grapes or cookies, 2 choices. By the multiplication counting principle we know there are a total of 3×2 ways to have your lunch and dessert.
        3×2 = 6 different, possible ways
        1) sandwich & grapes 2) sandwich & cookies
        3) burger & grapes  4) burger & cookies
        5) pizza & grapes 6) pizza & cookies
    Multiplication Counting Principle
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