# A pizza

A pizza place offers 14 different toppings. How many different three topping pizzas can you order?

Result

n =  364

#### Solution:

$C_{{ 3}}(14)=\dbinom{ 14}{ 3}=\dfrac{ 14! }{ 3!(14-3)!}=\dfrac{ 14 \cdot 13 \cdot 12 } { 3 \cdot 2 \cdot 1 }=364 \ \\ \ \\ n={ { 14 } \choose 3 }=364$

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