Counting the number of outcomes

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Consider the following formulas:   

Prn=n!(n−r)!and Crn=n!(n−r)!r!
Given the same values for n and r in each formula, which is the smaller value, P or C? How does this relate to the concept of counting the number of outcomes based on whether or not order is a criterion?
Jun 4th, 2015

Thank you for the opportunity to help you with your question!

the order of the criterion does not entirely depend of the number of outcomes in a study, thus the values of n and r in the formula are independent.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

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