How many ways can you distribute 5 marbles in 3 identical baskets such that each basket gets at least 1 marble.
I am trying to solve this problems using as many approaches:
The correct answer is:
we can pick distribute the marbles in two such ways:
3-1-1 or 2-2-1.
For the 3-1-1. We choose 3 marbles for the 1st basket. (5C3). 1 for the 2nd basket (2C1) and from the remaining marble (1C1).
We then divide by 2!. I know it has something to do with the the fact we are putting 1 marble into the 2
...
I am trying to solve this problems using as many approaches:
The correct answer is:
we can pick distribute the marbles in two such ways:
3-1-1 or 2-2-1.
For the 3-1-1. We choose 3 marbles for the 1st basket. (5C3). 1 for the 2nd basket (2C1) and from the remaining marble (1C1).
We then divide by 2!. I know it has something to do with the the fact we are putting 1 marble into the 2
...