SOLUTION: In a singing contest there are 6 finalists: Ari, Bella, Calli, Della, Ella, and Fits. What is the probability that Ari will perform immedietly before Bella ? (Express answer as a

Algebra ->  Probability-and-statistics -> SOLUTION: In a singing contest there are 6 finalists: Ari, Bella, Calli, Della, Ella, and Fits. What is the probability that Ari will perform immedietly before Bella ? (Express answer as a      Log On


   



Question 983946: In a singing contest there are 6 finalists: Ari, Bella, Calli, Della, Ella, and
Fits. What is the probability that Ari will perform immedietly before Bella ?
(Express answer as a fraction in lowest terms)

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
In a singing contest there are 6 finalists: Ari, Bella, Calli, Della, Ella, and
Fits. What is the probability that Ari will perform immedietly before Bella ?
(Express answer as a fraction in lowest terms)
The number of arrangements of these six things 

{A,B,C,D,E,F}

is 6!.

The number of arrangements of these five things

{(AB),C,D,E,F}, where A is immediately before B

is 5!

So the probability is 5! out of 6! or 

Edwin