How to do simulation to verify Randomly draw balls into boxes problem?

[Tung]

Suppose we put m balls randomly into n boxes (m>n). Find the expected number of non-empty boxes. Calculate theoretical number, and then use R to validate. The method to calculate by hand is to use indicator function. But how to use R to simulate?

[nirgrahamuk]

This reads like homework
FAQ: Homework Policy

At the core of your solution would probably be the base::sample() function which can randomly sample 'size' number of objects from a set passed in as 'x'

sample(x=letters[1:26],size=5,replace=TRUE)

[Tung]

This is the general question "put n balls in m boxes"

[Tung]

@nirgrahamuk

sample(x=letters[1:26],size=5,replace=TRUE)

It's not the same thing. Your code is get letters from a whole set. My question is put m balls into n boxes.

[nirgrahamuk]

It's an example of getting a random outcome from a set of possibilities. Like if there are 26 boxes and you distribute 5 balls at random among them.