SOLUTION: help please , Holly wants to choose 5 different decorative tiles out of 8. If she plans to place the 5 tiles in a row, end to end, in how many different ways can she arrange th

Algebra ->  Permutations -> SOLUTION: help please , Holly wants to choose 5 different decorative tiles out of 8. If she plans to place the 5 tiles in a row, end to end, in how many different ways can she arrange th      Log On


   

Question 987291: help please ,
Holly wants to choose 5 different decorative tiles out of 8. If she plans to place the 5 tiles in a row, end to end, in how many different ways can she arrange them, from left to right?
show work please thanks
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
We have 8 tiles taken 5 at a time, and order is important:
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n=total number of tiles, x=number chosen at a time
nPx=n%21%2F%28n-x%29%21
,
8P5=8%21%2F%288-5%29%21
8P5=8%21%2F3%21=8%2A7%2A6%2A5%2A4=6720
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ANSWER: There are 6720 possible arrangements.