fundamental rule of counting

  1. math_celebrity

    License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetit

    License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed. We have 26 possible letters and 10 possible digits 0-9. Since repetition is allowed, we have: 26 * 26 * 26 * 10 * 10 = 1,757,600 possible license plates
  2. math_celebrity

    To create an entry code, you must first choose 2 letters and then, 4 single-digit numbers. How ma

    To create an entry code, you must first choose 2 letters and then, 4 single-digit numbers. How many different entry codes can you create? List total combinations using the product of all possibilities: 26 letters (A - Z) * 26 letters (A - Z) * 10 digits (0-9) * 10 digits (0-9) * 10 digits (0-9)...
  3. math_celebrity

    Alice is making a sandwich to pack in her lunch. She has 2 different kinds of bread, 3 cheeses, 4 lu

    Alice is making a sandwich to pack in her lunch. She has 2 different kinds of bread, 3 cheeses, 4 lunch meats, and 2 condiments to choose from. Assuming she uses one of each of bread, cheese, meat, and condiment, how many different sandwiches can she make? We use the Fundamental Rule of...
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