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What do you think is equal to?  

  1. Try it on your calculator to see what you get.

  2. What does  mean? What should be equal to? Write using the factorial formula. Why is it necessary for to equal ?

    Refer to the Math Notes box below for help.

  3. Do you remember how to show that ? You can use a sequence of powers of two like this: , , , so . Since you also know that .
    You can construct a similar pattern for , starting with and then . Continue the pattern and make an argument to justify that .