You are planning a road trip and there are 15 different cities you would like to visit. Due to time constraints, you can only vi

Question

3 years ago

11

You are planning a road trip and there are 15 different cities you would like to visit. Due to time constraints, you can only vi

sit 4 of the cities. If you do not want to repeat any of the cities, how many different ways can you visit 4 of the 15 cities you are interested in

Mathematics

1 answer:

kumpel [21] · Answer 1 · 2022-04-12T19:41:24+03:00

Answer: 32760 ways.

Step-by-step explanation:

To solve this, we first determine the number of ways to select 4 countries from 15, we calculate number of ways to visit these 4 places then we multiply.

Selecting number of ways to choose 4 cities from 15 is by using the combination formula, which becomes 15C4

Number of ways to visit these 4 cities = 4!

Hence,total number of ways of visiting these 4 cities = 15C4 * 4! = 32760ways