A woman is on vacation for three days and wants to go to a museum, the beach, and the mountains. Assuming she does each activity only once, in how many different orders can she do them?

a) 3
b) 5
c) 6
d) 27

Please explain clearly and deeply to me.

Question

A woman is on vacation for three days and wants to go to a museum, the beach, and the mountains. Assuming she does each activity only once, in how many different orders can she do them?

a) 3
b) 5
c) 6
d) 27

Please explain clearly and deeply to me.

anonymous · Answer

Okay the first day, she has 3 options for what to do. The second day, she has chosen 1 already, so now she has 2 options. Finally, she has chosen 2 of the three things, so the last day she only has one option. This gives:
3*2*1

anonymous · Answer

Understand? Questions?