High School

Gomer is going to order a pizza for his cat, Fido. The following toppings are available for cat pizzas: sparrow sprinkles, lizard lozenges, mousie munchies, butterfly bits, beetle bites.

How many different topping combinations are possible?

1) 3125
2) 120
3) 25
4) 32

Answer :

Final answer:

This question in mathematics is about finding the total possible combinations of pizza toppings. Every topping is considered a binary choice, either it's chosen (1) or not (0). Therefore, with five toppings, there are 2^5 or 32 possible combinations.

Explanation:

The subject of this question is combinations, a topic studied in Mathematics. Gomer's cat pizza can have different number of toppings: no toppings, just one type of topping, two types, and so on up to all five. We can treat each topping choice as a binary decision - either we include it (1) or we don't (0). For five toppings, this would lead to 2^5 (or 32) potential combinations.

For example, '11111' signifies a pizza with all 5 toppings, while '00001' represents a pizza with only the beetle bites topping. '00000' denotes a pizza with no toppings.

Thus, there can be 32 different topping combinations possible for Gomer's cat pizza, including one with no toppings at all. This follows from the basic principle of binary options in combination problems.

Learn more about Combinations here:

https://brainly.com/question/30646507

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