A sales representative must visit eight cities. There are direct air connections between each of the cities. Use the multiplicat
1 answer:
Answer:
40,320 orders.
Step-by-step explanation:
By using the multiplication rule of counting, the sales representative has 8 choices for the first city, 7 choices for the second, 6 choices for the third, 5 choices for the fourth, 4 choices for the fifth, 3 choices for the sixth, 2 choices for the seventh, leaving just one city left to visit as the eight. Therefore, the number of different orders that the visits can be arranged is:
There are 40,320 different possible orders.
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Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n
This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n
This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n
This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
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