Sum/Count of distinct column values based on another column

Hello experts,

I have a table with Bill # and item name as follows: 

The values for the column Item_Name are coming from a different table via VLOOKUP. I am trying to sum/count all the distinct items per bill. 

example: Bill 2 has 5 items: 3 Apple, 1 Mango, 1 Peach so the count/sum of distinct Item in Bill 2 = 1+1+1 = 3.

So the final result should look like the below table:

I read various articles and references on disticnt count, count of count, but nothing has worked for me. Appreciate all your help. Thanks in Advance!