an ice cream shop offers sundaes sinsisting of 5 possible choices for ice cream and 4 possible choices for syrups. how many different types of sundaes are available at the ice cream shop?

Question

an ice cream shop offers sundaes insisting of 5 possible choices for ice cream and 4 possible choices for syrups. how many different types of sundaes are available at the ice cream shop?

Answer 1

Here you have ice creams A, B, C, D, & E.

Here you have syrups 1, 2, 3, & 4.

Then give each letter each one of the numbers to obtain:

A1-----A2-----A3-----A4

B1-----B2-----B3-----B4

C1-----C2-----C3-----C4

D1-----D2-----D3-----D4

E1-----E2-----E3-----E4

Then 5 possible ice creams times

4 possible syrups for each ice cream

gives 20 different sundae types available

which agrees with a count of the letter-number

combinations above.