Question

Kareem got a train ticket valid for the eight cities listed below. He can choose to visit some or none of these cities. He doesn't have time to visit all of them.Amsterdam, Brussels, Cologne, Duisburg, Lille, Paris, Rotterdam, UtrechtIn how many different ways can Kareem choose the cities to visit?

Answer 1

Answer:

Kareem can visit the city in 254 different ways.

Explanation:

Total number of cities = 8

Since he doesn't have time to visit all of the cities, he can visit 7 out of 8, or 6 out of 8, or 5 out of 8, and so on. The order does not matter, so

$8C1+8C2+8C3+8C4+8C5+8C6+8C7=254$