Answer: There are 35 ways to arrange on a shelf.
Step-by-step explanation:
Since we have given that
Number of identical footballs = 4
Number of identical basketballs = 3
We need to find the number of ways that the above can be ordered on a shelf.
Total number of books = 4+3 = 7
So, it becomes,
[tex]=\frac{7!}{4!\times 3!}\\\\=\frac{5040}{144}\\\\=35[/tex]
Since there are 4 identical footballs i.e. 4! and 3 identical basketballs i.e. 3!. so, we divide the identical part with the whole part.
Hence, there are 35 ways to arrange on a shelf.
