There are 33 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

1 answer

The number of ways the guests could arrange themselves on a four-person couch can be calculated using the permutation formula.

P(n, r) = n! / (n-r)!

In this case, n = 33 (number of guests) and r = 4 (number of seats on the couch).

P(33, 4) = 33! / (33-4)!

P(33, 4) = 33! / 29!

P(33, 4) = 863,880

Therefore, there are 863,880 ways in which the 33 guests could arrange themselves on the four-person couch.