Okay, let's solve this step-by-step:
* Sherrie has 8 books total
* She needs to choose 4 books to put in her bag
* The question is: How many ways can she choose those 4 books?
To solve this, we can use the combination formula:
_C(n,r)_ = _n! / (r!(n-r)!)_
Where:
_n_ = total number of items (8 books)
_r_ = number of items chosen (4 books)
Plugging into the formula:
_C(8,4)_ = _8! / (4!(8-4)!) _
= _40,320 / (24 * 16)_
= _40,320 / 384_
= 105
Therefore, there are 105 ways Sherrie can choose 4 books out of 8 total books.