Question:
There are 10 true-false questions in a examination. Then these questions can be answered in:
There are 10 true-false questions in a examination. Then these questions can be answered in:
Updated On: Jul 7, 2022
- 100 ways
- 20 ways
- 512 ways
- 1024 ways
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The Correct Option is D
Solution and Explanation
There are 10 questions with options of false/true. It means each question has two options.
Thus the number of ways that these questions can be answered $= 2^{10} = 1024$ ways.
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Notes on permutations and combinations
Concepts Used:
Permutations and Combinations
Permutation:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
- In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point.
- A permutation is used in many events of daily life. It is used for a list of data where the data order matters.
Combination:
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.
- Combination refers to the combination of about n things taken k at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.