A tourist in France wants to visit 6 different cities. How many different routes are possible?...

Question

Question

A tourist in France wants to visit 6 different cities. How many different routes are possible? Please show work using the correct formula.

Answer 1

Answer #1

Formula:Insert this below calculation in excel

P _{n, k} = n! / (n-k)!

P _{6, 6} = 6! / (6-6)! = 6! / 0! = 6! / 1 = 6!

6! = 6*5*4*3*2*1

=720

so 720 different routes are possible to visit France b a tourist

Answer 2

Similar Homework Help Questions

A tourist in France wants to visit 8 different cities. If the route is randomly selected,...

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? (Please show work)
A tourist in France wants to visit 6 different cities. If the route between the 6...

A tourist in France wants to visit 6 different cities. If the route between the 6 cities is selected at random, what is the probability of choosing the shortest route?
How many different ways can a visiting nurse visit 8 patients if she wants to visit...

How many different ways can a visiting nurse visit 8 patients if she wants to visit them all in one day? There are different ways to visit 8 patients in one day. It is reported that 72% of working women use computers at work. Choose 7 working women at random. Please round the final answers to 2 or 3 decimal places. Source: www.infoplease.com Part 1 out of 2 Find the probability that all 7 use a computer in their jobs....

(b) There are 12 European cities that Alice would eventually like to visit. On her next...

(b) There are 12 European cities that Alice would eventually like to visit. On her next vacation, though, she only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. She is now trying to make a schedule of which city she'll visit on which day. How many different schedules are possible? (Assume that she will not visit a city more than once.)
Answer the questions below. (a) How many different committees of size 3 can be formed from...

Answer the questions below. (a) How many different committees of size 3 can be formed from 14 people? (b) There are 12 European cities that Alice would eventually like to visit. On her next vacation, though, she only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. She is now trying to make a schedule of which city she'll visit on which day. How many different schedules are possible? (Assume that...
How many different possible orders are there for 6 horses to finish a race if ties...

How many different possible orders are there for 6 horses to finish a race if ties are possible?

5 identical 6-sided dice are thrown. How many different results are possible?

5 identical 6-sided dice are thrown. How many different results are possible?
5 identical 6-sided dice are thrown. How many different results are possible?

5 identical 6-sided dice are thrown. How many different results are possible?
5. Dave rides the different routes on bike A and bike B. He wants to figure...

5. Dave rides the different routes on bike A and bike B. He wants to figure out if bike A is faster than bike B. Perform a hypothesis test for this using the data below. (5 points) Route Bike A (minutes) Bike B (minutes) 152 121 135 143 29 95 67 78 45 47 25 161 122 129 145 31 94 69 80 43 48 25 Mountains Flat A Canada A Canada B Michigan Work Cali A Cali B Cali...

6) A pool of possible jurors consists of 12 men and 14 women. How many different...

6) A pool of possible jurors consists of 12 men and 14 women. How many different juries consisting of 5 men and 7 women are possible? A) 2,718,144 B) 9,657,700 C) 4224 D) 1,532,078