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Mathematics 18 Online
OpenStudy (anonymous):

Jacob is having dinner at a restaurant. The menu includes 7 appetizers, 12 entrées, and 5 desserts. Jacob can select one appetizer, one entrée, and one dessert. What is the total number of dinner combinations that Jacob can select from?

OpenStudy (amistre64):

i believe the formula is\[\frac{n!}{a!e!d!}\]

OpenStudy (amistre64):

where n = a+e+d

OpenStudy (cwrw238):

any 1 of 7 appetizers can be combined with any 1 of 12 entrees and any 1 of these combinations can combine with any 1 of 5 desserts

OpenStudy (amistre64):

but my idea might have something like aed and dea as separtae groups .....

OpenStudy (anonymous):

sorry what do i do

OpenStudy (anonymous):

@amistre64 @cwrw238

OpenStudy (cwrw238):

well my method gives 7*12*5

OpenStudy (anonymous):

so times it

OpenStudy (cwrw238):

yes

OpenStudy (anonymous):

420

OpenStudy (cwrw238):

right

OpenStudy (anonymous):

thanks

OpenStudy (cwrw238):

yw

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