How many ways can 4 identical footballs and 3 identical basketballs be ordered on a shelf?

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,

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.

168

step-by-step explanation:

i am pretty sure that the answer is 168

3 is greater then both of those numbers