How many ways can you answer a 10 question multiple choice quiz if each question has four options?

1 anos atrás

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You can use the "multiplication principle of counting" on this one: For each question, there is some "possible" number of answers. On the multiple choice questions, there are 4 possible answers. On the true/false questions, there are 2 possible answers. Now we can just multiply out all the possibilities for the 18 questions:

This can be simplified as:

There are 268,435,456 different ways in which one could answer these test questions! We could write out all the different possibilities, but it would take us years to do so. Scary, huh? I hope this helps!