Question

A true-false test contains 10 questions. In how many different ways can this test be completed?(Assume we don't care about our scores.)This test can be completed indifferent ways.

Answer 1

Explanation:

The test contains 10 questions, each one can be answered either with 'true' or with 'false' which means that for each question there are only 2 options.

We need to find the number of ways in which the test can be completed.

To answer the question we use the fundamental counting principle:

In this case, there are 2 ways to complete each question, therefore, we multiply that by the 10 questions that we have:

`2*2*2*2*2*2*2*2*2*2`

This can be simplified to

`2^(10)`

which is equal to:

`2^(10)=\boxed{1024}`

Answer:

1024