SOLUTION: A history teacher gives a 20-question true-false exam. In how many ways can the test be answered if the possible answers are T or F or possibly to leave the answer blank?

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Question 866146: A history teacher gives a 20-question true-false exam. In how many ways can the test be answered if the possible answers are T or F or possibly to leave the answer blank?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 3 possible responses (T, F, B ... B for blank).


There are 20 slots.


So we will have 

          3*3*3*3  *  3*3*3*3   *   3*3*3*3   *   3*3*3*3   *   3*3*3*3 = 3^20 = 3,486,784,401

different ways to answer this test.