Question 1174428: Assume someone gives you all the correct answers for an exam, but he/she does not tell you which answers correspond to which questions on the exam. Unfortunately your last 3 months were just too busy to study for the exam and you decide to guess. If the exam has 6 questions, what are your chances to have all 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: 0.123345) or as a fraction a/b !)
Answer by ikleyn(52788)   (Show Source):
You can put this solution on YOUR website! .
The total number of possible outcomes is 6*5*4*3*2*1 = 720.
(the product of 6 sequential integer numbers starting from 6 in descending order).
It is because any of 6 answers can be in the first position,
any of remaining 5 answers can be in the second position,
. . . and so on . . .
It is the space of events.
Of these possible outcomes, ONLY ONE does match (!).
THEREFORE, the probability under the problem's question is  = 0.00139. ANSWER
Solved and explained.
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