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  • A pizza place offers 4 different vegetarian toppings and 3 different meat toppings. If a customer can choose any combination of toppings (including no toppings), how many different pizza combinatio

A pizza place offers 4 different vegetarian toppings and 3 different meat toppings. If a customer can choose any combination of toppings (including no toppings), how many different pizza combinations are possible?

Option: 1

230


Option: 2

128


Option: 3

420


Option: 4

560


Answers (1)

best_answer

To calculate the number of different pizza combinations, we need to consider the options for each topping: whether it is selected or not.

For the vegetarian toppings, there are 4 options: either each vegetarian topping is selected or not, giving us 2 options for each of the 4 vegetarian toppings.

For the meat toppings, there are 3 options: either each meat topping is selected or not, giving us 2 options for each of the 3 meat toppings.

Using the multiplication principle, the total number of different pizza combinations is given by multiplying the number of options for each topping:

2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=2^7=128 \text {. }

Therefore, there are 128 different pizza combinations possible

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Pankaj

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