in how many ways can the students be assigned to the desks A

in how many ways can the students be assigned to the desks?

A group of 15 students are to be assigned seats in a classroom with 18 desks. The desks cannot be moved and are arranged in three rows, with 6 desks in each row. In how many different ways can the students be assigned to the desks? Note that in each possible assignment, there will be 3 desks that remain empty, unassigned to any student. Remember to include a brief indication of your counting strategy.

Solution

Number of ways can 15 students can arrange in 18 desks =18C15 =816 ways