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  • A question paper has 10 questions. Then the number of ways in which a student  can attempt the paper so that he correctly attempts at least one question is <div class='qna-option

A question paper has 10 questions. Then the number of ways in which a student  can attempt the paper so that he correctly attempts at least one question is 

Option: 1

1023 


Option: 2

512 


Option: 3

1024 


Option: 4

20 


Answers (1)

best_answer

As we have learned

For each question, the student can either attempt it correctly or incorrectly: so 2 options for each question

So, for 10 questions, total ways to attempt are 2.2......2 (10 times) = 210

But in one of these ways, he will attempt all questions incorrectly

So, required number of ways = 2 ^{10 } - 1 = 1023

 

Posted by

vinayak

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