Bob, Carol, Ted, and Alice are splitting 25 identical jelly beans. Bob wants at least one jelly bean, Carol wants at least two jelly beans, Ted wants at least three jelly beans, and Alice wants at least four jelly beans. How many ways are there to distribute the jelly beans?

six ways

Explanation:

There are several ways to distribute the jelly beans. One simple way is to divide the beans among the people. This results in the equal distribution in the beans by letting each member have 6 beans each. However, since the distribution happens in a number of ways, a variety of ways are possible. We can use the binomial theorem to discuss the number of ways that this can be possible.