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AnnZ [28]
3 years ago
10

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is

randomly selected, what is the probability that it is the shortest route?
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

P=\frac{1}{\frac{5!}{(5-5)!}}=\frac{1}{5*4*3*2*1}\\ P=0.008333=0.8333\%

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

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