<PRE><B>Question 394731</B>
my mistake
I should have used combinations instead of permutations since order does not matter

small pizza: 8C3=336/6=56
medium pizza:  8C4=1680/24=70
large pizza:  8C5=6720/120=56

total pizzas= 56+70+56=182

==
ignore below

these answers do not make sense!
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for the small pizza there are 8P3=8*7*6=336 different types of small pizzas
for the medium pizza there are 8P4=8*7*6*5=1680 
for the large pizza there are 8P5=8*7*6*5*4=6720
so there should be 336+1680+6720=8736 different pizzas</PRE>