There are two key components to these kinds of offers:
- The number of separate products you need to purchase to meet the offer requirements for Cash Back, and
- The number of times an offer can be claimed in the same offer week.
If multiples of a product are required to be purchased in order to qualify for an offer, the offer title will say "Buy X" at the start of the offer's title, where X is the number of separate products you need to purchase (See 1 above). Examples: "Buy 2:", "Buy 3:", etc.
The number of times an offer can be claimed in the same offer week shows up as "Claim up to X times" in the offer details (See 2 above). Examples: "Claim 1 time", "Claim up to 2 times", "Claim up to 5 times", etc.
The 
button is only used to indicate how many times you’d like to claim an offer on the same receipt.
Here is an example:
In this example, the Spaghettios offer is a "Buy 4" offer, which means that in order to qualify for the offer once, you must purchase four (4) separate cans of Spaghettios.
However, you can also claim the offer up to 5 (five) times during the same offer week. If you only wanted to claim the offer once, you would only need to purchase four (4) cans of Spaghettios, but if you wanted to claim it the maximum of 5 (five) times, you would need to purchase twenty (20) cans of Spaghettios because:
"Buy 4" x 5 claims = 20 cans of Spaghettios