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Number of Ways to Complete a True/False Test

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fix graphic size
show T's and F's
n
1
2
3
4
5
6
7
2
2
= 4 ways
0 true, 2 false, 1 way
1 true, 1 false, 2 ways
2 true, 0 false, 1 way
A true or false test has
n
​
questions. How many ways are there to complete the test? To get the answer
n
2
, raise the number of choices, 2, to the power of the number of questions,
n
. This Demonstration groups all these choices by the number of questions answered true and false.
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