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The number of possible Blimpy Burger combinations is:
2,147,483,648
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How did we figure this out? There
are four burger sizes, six cheeses (you can order all of them,
some of them, or no cheese at all), four different bun types, nine
different grilled items (you can get all, some, or none of them)
and twelve different condiments (again you can get all, some, or
none). So, according to noted Blimpy Addict Will G. -- roommate of
former Blimpy staff -- the number of combinations is equal to: |
| 6 |
9 |
12 |
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( |
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( |
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| ∑ |
∑ |
∑ |
4 x |
6 |
x 4 x |
9 |
x |
12 |
| c |
g |
n |
| c=0 |
g=0 |
n=0 |
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("c" is for cheese,
"g" is for grilled items, and "n" is for condiments)
Using Matlab the following code will evaluate the expression:
>> v=0
>> for c=0:6
for g=0:9
for n=0:12
s=4*(factorial(6)/factorial(6-c)*factorial(c)));
t=4*(factorial(9)/factorial(9-g)*factorial(g)));
u=(factorial(12)/factorial(12-n)*factorial(n)));
v=v+(s*t*u);
end
end
end
>>sym(v,'d')
ans=2,147,483,648
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