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12 December, 18:23

A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

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Answers (2)
  1. 12 December, 18:31
    0
    The answer is 0.00002480

    Step-by-step explanation:

    From the question stated let us recall the following statement.

    The number of cities the tourist wants to visit is = 8

    Now,

    If the route is selected randomly, what is the probability that the cities she visits are in alphabetical order.

    Therefore,

    The probability that she visits the cities in alphabetical order = 1/8!

    There are 8! = 40320 ways in which these cities can be visited

    P (Visiting in alphabetical order) = 1/40320 = 0.00002480
  2. 12 December, 20:46
    0
    Probability p (selecting 8 cities alphabetically) = 2.48*10^-5

    Step-by-step explanation:

    Number of possible ways of choosing 8 cities=Permutation P (n, k) = n! / (n-k) !

    P (8,8) = 8! / (8-8) ! = 8! = 40,320

    Probability (selecting 8 cities alphabetically) = 1/40320 = 2.48*10^-5
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