How many exams consisting of three questions could a professor

groupweird40

groupweird40

Answered question

2022-05-21

How many exams consisting of three questions could a professor build from a bank of nine questions?

Answer & Explanation

Brooks Butler

Brooks Butler

Beginner2022-05-22Added 9 answers

Step 1
The professor has any one of 9 problems to select the first question from.
Once the first question is selected the professor then has 8 problems to select the second question from because 1 has already been selected.
Step 2
Finally, for the third question the professor has 7 questions to select from because 2 have already been selected.
Therefore the number of possible different exams possible are:
9 8 7 72 7 504

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