Ice Cream combination Question

GRE Quant Problem Solving
1

An ice cream shop has four different flavors of ice cream and four optional toppings. How many different ice cream concoctions can one make?

Gregmat solution - _ _ _ _ _ - 4 x 2 x 2 x 2 x 2

But we are never told that we can only choose 1 ice cream.

So wouldnt all four flavors also have a YES/NO option ? I assumed it to be - _ _ _ _ _ _ _ _ - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Please explain what is wrong in my approach.

Also there is a similar question in the same video - 10 ice cream options. 6 toppings. At least one topping.

I have the same assumption as above, where there is a YES/NO option for all 10 ice creams right?

2

If that’s the question verbatim then it’s just an ambiguous question and you can’t do anything about it.

Your answer is close to making sense too, but can you really call something an ice cream if it has no flavor and no toppings? According to me, 2^8 - 2^4 should be what you’re going for with your logic (which isn’t wrong either).

3

Could you explain why you subtracting “2^4” please.