I’ve made certain assumptions:

Ice cream is mandatory, but topping and syrup are optional;

I can have between 1 and 4 scoops of ice cream, but no more than 1 of each flavour;

There can only be at most one topping and there are 15 different flavours;

There can only be at most one syrup and there are 4 different flavours;

The choice of ice cream, topping and syrup are independent.

ICE CREAM

1 scoop: 4 because there are 4 flavours

2 scoops: 6

3 scoops: 4

4 scoops: 1 because no more than one of each flavour is permitted

TOTAL FOR ICE CREAM: 15

TOPPING: 16 including no topping

SYRUP: 5 including no syrup.

Total combination: 15*16*5=1200.

(If the initial assumption were changed to allow up to 15 toppings instead of just one, the numbers involved would be too large to handle. The situation is worse if more than one syrup is allowed. So the initial assumption seems to be the practical, sensible one!)

- All categories
- Pre-Algebra Answers 12,288
- Algebra 1 Answers 25,179
- Algebra 2 Answers 10,408
- Geometry Answers 5,146
- Trigonometry Answers 2,632
- Calculus Answers 5,937
- Statistics Answers 3,012
- Word Problem Answers 9,992
- Other Math Topics 6,534

81,128 questions

85,201 answers

2,143 comments

68,625 users