Originally Posted by

**antman** If you have 4 flavors (chocolate, cookies-n-cream, strawberry and vanilla) of ice cream and 6 toppings (caramel, hot fudge, marshmallow, M&Ms, nuts and strawberries), how many sundaes are possible using one flavor of ice cream and three different toppings?

My work: (6)(5)(4)=120

How many sundaes are possible using one flavor of ice cream and from 0 to 6 toppings?

My work: (6)(5)(4)(3)(2)(1)+(6)(5)(4)(3)(2)+(6)(5)(4)(3)+(6 )(5)(4)+(6)(5)+6+1(<---for 0 toppings?)=1957 I am really unsure about how I did this part

How many different combinations of flavors of three scoops of ice cream are possible if it is permissible to make all three scoops the same flavor?

My work: (4)(4)(4)=64

Does anyone know if I am on the right track?