Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a specific school (School 1) receives at least 2 teachers? ii. each school receives exactly 4 teachers?

A jar of jellybeans has three different colors of jellybeans:  green,  red, and yellow. Let’s use symbols to represent each color: green = g, red = r, and yellow = y. If you choose a handful of four jellybeans from the jar, how many different combinations of jellybeans are possible? Assume there are at least four of each color.

In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is

there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?