SOLUTION: How many different ways can a chairperson and an assistant chairperson be selected for a research project if there are 7 scientists available? Which counting method do you use?

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Question 1141385: How many different ways can a chairperson and an assistant chairperson be selected for a research project if there are 7 scientists available? Which counting method do you use?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Presumably "chairperson" and "assistant chairperson" are distinguishable positions, so order counts. Then the calculation is a permutation.

7 choices for the chairperson, then 6 choices remaining for the assistant.

ANSWER: 7*6 = 42 ways