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Question

Mathematics Question on permutations and combinations

There are 10 true-false questions in a examination. Then these questions can be answered in:

A

100 ways

B

20 ways

C

512 ways

D

1024 ways

Answer

1024 ways

Explanation

Solution

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 =210=1024= 2^{10} = 1024 ways.