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The Counting Principle

The Counting Principle. The Counting Principle. If one event can occur in m ways, and for each of these a second event can occur in n ways, then the number of ways that the two events can occur together is . The counting principle can be extended to three or more events. Outfits.

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The Counting Principle

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  1. The Counting Principle

  2. The Counting Principle If one event can occur in m ways, and for each of these a second event can occur in n ways, then the number of ways that the two events can occur together is The counting principle can be extended to three or more events.

  3. Outfits Suppose Mr. Dade owns 6 pairs of shoes, 5 pairs of pants, and 12 shirts. If an outfit consists of shoes, pants, and a shirt, and the clothes do not have to match, how many different outfits can Mr. Dade create?

  4. License Plates The standard Ohio state license plate has 3 letters followed by 4 digits. How many different license plates are possible in the digits and letters can be repeated?

  5. Sub Shack Suppose we want to open a restaurant that makes submarine sandwiches. For bread, we offer wheat, white, rye, and asiago cheese. For meat, we offer turkey, ham, corned beef, tuna fish, roast beef, and chicken salad. Our vegetables offered are tomatoes, lettuce, pickles, onions, banana peppers, and olives. We offer a choice of cheddar, provolone, muenster, and pepper-jack for cheese. Our toppings include mayonnaise, yellow mustard, or spicy mustard. If a sandwich consists of one bread, one meat, one vegetable, one cheese, and one topping, how many sandwiches do we offer?

  6. Computer Passwords You are assigned a computer-generated 4-digit password to access your new voice mail account. If the digits can be repeated, what is the probability that your assigned password is 1234?

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