Question

In: Statistics and Probability

On Friday nights I like to order a pizza. I have 12 favourite toppings. How many...

On Friday nights I like to order a pizza. I have 12 favourite toppings. How many different pizzas might I order?

Expert Solution

solution:

total available toppings=n = 12

possible different pizzas are the different combination with different toppings

so number of possible pizza with zero toppings =

number of possible pizza with one topping =

number of possible pizza with 2 topping =

number of possible pizza with 3 topping =

number of possible pizza with 4 topping =

number of possible pizza with 5 topping =

number of possible pizza with 6 topping =

number of possible pizza with 7 topping =

number of possible pizza with 8 topping =

number of possible pizza with 9 topping =

number of possible pizza with 10 topping =

number of possible pizza with 11 topping =

number of possible pizza with 12 topping =

so total possible ways = 1 + 12 + 66 + 220 + 495 + 792 + 924 + 792 + 495 + 220 + 66 + 12 + 1 = 4096

total variety of possible pizzas are 4096

orchestra answered 3 years ago

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