SOLUTION: 10. Compute P(5,2) and C(5,2). Compare and explain your answers. Why are they different

Algebra ->  Probability-and-statistics -> SOLUTION: 10. Compute P(5,2) and C(5,2). Compare and explain your answers. Why are they different      Log On


   

Question 1148118: 10. Compute P(5,2) and C(5,2). Compare and explain your answers. Why are they different
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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P(5,2) = 5*4 = 20  is the number of all ORDERED pairs of 5 different items.


C(5,2) = %285%2A4%29%2F%281%2A2%29 = 10  is the number of all unordered pairs of 5 different items.


So, these quantities count DIFFERENT entities.


Therefore, there is nothing unexpected that they are different.