529 withdrawal when scholarship is applied to the term bill

Hoping someone can guide me on 529 withdrawal. Here is the situation. My daughter's Spring term bill has these line items:

 

Tuition & fees = $16,000

Scholarship    = $  6,000

Amount Due  = $10,000

 

I have 2 options. 

Option 1:  withdraw $10,000

Option 2: withdraw $16,000

 

I know that Option 1 has no tax implications.

 

My question is about Option 2. Do I need to pay tax on $6000 scholarship in Option 2, even though that money ($6000) is actually applied against the tuition & fees automatically by the university. My PA 529 GSP agent tells me that it is taxable. Is this right? 

 

I thought that if the Scholarship is used for Qualified Education Expenses,  it is not subject to taxes. Can someone clarify this?

 

Thanks.