Question:

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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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.