A piano has 88 keys. Assume that at least one key is played. i. How many ways can up to three keys be played in succession? ii. How many ways can up to three different keys be played in succession? iii. How many ways can up to three keys be played in simultaneously?

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

How many ways can 7 cards be chosen from a standard deck

Twelve wedding guests are assigned seats in the northwest corner of the reception hall. Show all work. a. If the seats are numbered, how many ways can the 12 guests be seated in 3 chairs? b. If the reception hall instead assigned 6 guests per table, how many ways can 12 guests be assigned to a table?