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Mathematics, 21.04.2021 08:00 MoneyMike42
The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.
Write the product of the outcomes.
(first city) ยท (second city) ยท (third city) ยท (fourth city) ยท (final city)
= 5 ยท 4 ยท 3 ยท 2
Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.
Recall that
n! = n(n โ 1)(n โ 2) 1.
Here,
n = 5
and
5! = 5 ยท 4 ยท 3 ยท 2
Step 3
Multiply to find the total number of possible outcomes.
5! = 5 ยท 4 ยท 3 ยท 2 ยท 1
= ?
So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.
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