Question 347209: How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30 choose 15.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30 choose 15.
------------------------
Each question can be answered in 2 ways.
1 question: 2 ways
2 questions: 2^2 ways (tt,tf,ft,ff)
3 questions: 2^3 ways (ttt, ftt,tft,ttf,tff,ftf,fft,fff)
---
15 questions: 2^15 = 32,768 ways
=====================================
Cheers,
Stan H.
|
|
|
