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?

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) (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.
RELATED QUESTIONS
a history teacher gives a 20 question true false exam. in how many ways can the test be... (answered by partha_ban,Alan3354)

A history teacher gives a 14-question true-false exam. In how many ways can the test be... (answered by ewatrrr)

A history teacher gives a 18 question T-F exam. In how many different ways can the test... (answered by Alan3354)

A history teacher gives a 28 question T-F exam. In how many different ways can the test... (answered by stanbon)

A history teacher gives a 25 question T-F exam. In how many different ways can the test... (answered by stanbon)

A history teacher gives a 24 question T-F exam. In how many different ways can the test... (answered by stanbon)

a certain mathematics test consist of 10 questions. in how many ways can the test be... (answered by ewatrrr)

In how many different ways can a 10-question true-false test be answered if every... (answered by Fombitz)