A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.

The correct choice would be 128.

If there are 6 options and the person can pick any number of toppings, we need to know the number of subsets that can be formed with 6. That would be 2^6 or 64.

Since there is a pan or hand-tossed option, we need to multiply 64 by 2 to find the total.
64 x 2 = 128

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psm22415 psm22415 · Answer 2 · 2022-05-09T11:57:37+02:00

The number of possible outcomes in the sample space is 128.

What is the combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

A pizza stand offers both hand-tossed and pan pizza.

Customers can add any combination of the six available toppings.

Total number of pizzas = 2

Total number of toppings option = 6

So the number of combinations for 1 pizza is;

[tex]= 2^6\\\\= 2\times 2\times 2\times 2\times 2\times 2\\\\=64[/tex]

The number of possible outcomes in the sample space is;

[tex]= 64 \times 2\\\\=128[/tex]

Hence, the number of possible outcomes in the sample space is 128.

Learn more about combination here;

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