Answer:
5 ways
Step-by-step explanation:
We have to name the cases.
1. 4 - 0 - 0 - 0
2. 3 - 1 - 0 - 0
3. 2 - 2 - 0 - 0
4. 2 - 1 - 1 - 0
5. 1 - 1 - 1 - 1
We don't name 0 - 0 - 1 - 3 or 0 - 1 - 1 - 2 etc. because it is the same thing.
There are 35 ways to distribute 4 identical balls among 4 identical boxes
The given parameters are:
Balls, n = 4
Boxes, r = 4
The number of ways is then calculated as:
(n + r - 1)C(r - 1)
This gives
(4 + 4 - 1)C(4 - 1)
Evaluate
7C3
Apply the combination formula
7C3 = 7!/((7 - 3)! * 3!)
Evaluate the difference
7C3 = 7!/(4! * 3!)
Evaluate the expression
7C3 = 35
Hence, the number of ways is 35
Read more about combination at:
https://brainly.com/question/11732255
#SPJ6
