Ice cream

Annie likes much ice cream. In the shop are six kinds of ice cream. In how many ways she can buy ice cream to three scoop if each have a different flavor mound and the order of scoops doesn't matter?

Result

n =  20

Solution:

$C_{{ 3}}(6)=\dbinom{ 6}{ 3}=\dfrac{ 6! }{ 3!(6-3)!}=\dfrac{ 6 \cdot 5 \cdot 4 } { 3 \cdot 2 \cdot 1 }=20 \ \\ \ \\ n={ { 6 } \choose 3 }=20$

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