SOLUTION: A travel app will suggest 3 hotels and 5 restaurants at random for any city it has information. How many different suggestions can it make for a town that only has 8 hotels and 18

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Question 636382: A travel app will suggest 3 hotels and 5 restaurants at random for any city it has information. How many different suggestions can it make for a town that only has 8 hotels and 18 restaurants?
My thinking is C(8,3) + C(18,5). Am I on the right track?
Thank you in advance for any assistance.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


For each of the combinations of hotels, combinations of restaurants can be chosen. Hence:



John

My calculator said it, I believe it, that settles it
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A travel app will suggest 3 hotels and 5 restaurants at random for any city it has information. How many different suggestions can it make for a town that only has 8 hotels and 18 restaurants?
My thinking is C(8,3) + C(18,5). Am I on the right track?
A travel app will suggest 3 hotels and 5 restaurants at random for any city it has information. How many different suggestions can it make for a town that only has 8 hotels and 18 restaurants?
My thinking is C(8,3) + C(18,5). Am I on the right track?
----
You need to multiply, not add.
Cheers,
Stan H.