SOLUTION: evaluate expression 5P0

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Question 116148: evaluate expression 5P0
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Since order does matter, we must use the permutation formula:




n%21%2F%28n-r%29%21 Start with the given formula



5%21%2F%285-0%29%21 Plug in n=5 and r=0



5%21%2F5%21 Subtract 5-0 to get 5



Expand 5!
%285%2A4%2A3%2A2%2A1%29%2F5%21



Expand 5!
%285%2A4%2A3%2A2%2A1%29%2F%285%2A4%2A3%2A2%2A1%29



%28cross%285%2A4%2A3%2A2%2A1%29%29%2F%28cross%285%2A4%2A3%2A2%2A1%29%29 Cancel like terms



1 Simplify




So 5 choose 0 (where order does matter) yields 1 unique combination