# Grading Exams Your professor has just collected eight different statistics exams. If these exams are graded in random order, what is the probability that they are graded in alphabetical order of the students who took the exam?

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Grading Exams Your professor has just collected eight different statistics exams. If these exams are graded in random order, what is the probability that they are graded in alphabetical order of the students who took the exam?

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Step 1

There are eight different statistics exams and are graded in random order.

Factorial Rule:

The total number of ways n different objects can be arranged where order of the objects is important is given by factorial rule. The factorial is denoted by the symbol ‘!’, this symbol represents the product of the decreasing positive whole numbers.

The formula for arranging n different objects is,

Step 2

Substitute 8 for n,

Step 3

Let event A denote the statistics exams are graded in alphabetical order of the students who took the exam. There is...

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