Question #87f7d
2 Answers
There are
Explanation:
There are ten questions, but each question can be answered in two ways.
To help you understand the process, let's start with fewer questions - only two.
After answering T or F on the first (two ways possible) you could also choose T or F on the second. So, the possible patterns are:
TT TF FT FF four ways (2 x 2) =
Increase to three questions, and each of these four possible patterns gives rise to two more possibilities:
TTT TTF TFT TFF FTT FTF FFT FFF
Now, we have eight ways (2 x 2 x 2) =
Carry on in this way, and you will find that four a test with ten questions, you could answer in
(Because only one of these arrangements yields a perfect test score, your chances are pretty slim if you have to guess at every one!)
Explanation:
If we assume that the questions are numbered, then they will always be in that order.
Each question can be either 'True' or 'False' - so there are 2 options.
Therefore the number of arrangements of True and false is: