Question

permutations: 120 room hotel has reservations from 6 guests for 6 different rooms. in how many ways can the rooms be assigned?

Answer 1

From 120 rooms, arrange the guests in 6 of them:

120P6

Answer 2

yes this question is a permutation like @agent0smith said

Answer 3

2.63 x 10 e 12

Answer 4

Yes, it'll be a huge number, think about all the ways you could order them:

1st guest in room number 1, the other 5 in rooms 116-120

1st guest in room 1, the other 5 in rooms 115 and 117-120

and so on moving the guests around.