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3 votes
A seven-question quiz has four

a. True

b. False questions followed by 3 multiple choice questions. for each multiple choice question there are four possible answers. in how many different ways is it possible to answer the seven questions?

1 Answer

5 votes

Answer:

210

Explanation:

Formula I made up: (Don't copy it please) (x-1 + x-2 + x-3... until x-(x-1)

Add all answers possible. (4 true and falses with 2 different answers each.) (3 multiple choice with 4 possible outcomes.)

4 x 2 = 8 | 3 x 4 = 12 |

\ /

8 + 12 = 20

Do what I like to call Additional factorial. (it's a little different, so follow the formula above.)

x = 20

20 -1 + 20 - 2... 20-(20-1) = 210

19 + 18... + 1 = 210

Compare my answer to others if you get any because I am just in 8th grade and I am a nerd at math and I love it. Because I am in 8th grade, I have a slight possibility for being wrong. Enjoy the answer and thanks for letting me use my skills for the world. :)

User Joshp
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