SOLUTION: How many different ways can a chairperson and an assistant chair be selected from a research project if there are seven scientists available?
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Question 1100938: How many different ways can a chairperson and an assistant chair be selected from a research project if there are seven scientists available? Answer by ikleyn(52794) (Show Source):
Any of 7 scientists can be selected for the first position,
and any of the remaining 6 scientists can be selected for the second position.
All these selections are distinguishable.
Answer. There are 7*6 = 42 ways.