SOLUTION: Assume someone gives you all the answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. If the exam has 6 questions, what are yo

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Question 1174429: Assume someone gives you all the answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. If the exam has 6 questions, what are your chances to have 5 answers correct, if you choose answers on random from the 6 you received and set them as answers to 1st, 2nd, 3rd , 4th, 5th and 6th question. (Give the probability in the form of a decimal number with 5 decimals (example: 0.12345) or as a fraction a/b !)
Thank you

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
6 Questions
Assume someone gives you all the answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. 

If you choose answers at random from the 6 you received and set them as answers to 1st, 2nd, 3rd , 4th, 5th and 6th question.  6! = 720 WAYS TO ARRANGE
 
P(choosing 5 correct answers) =  (6C1)(5C1)(4C1)(3C1)(2C1)(1C0)/(720C6) = 720/(720C6)

Wish You the Best in your Studies.


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