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Time. A.1680 B.56 C.6720 D.109
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Since order does matter (this is because the word "cab" is different than "abc"), we can use the permutation formula:
Start with the given formula
Plug in (this is number of letters given) and (this is the number of letters we can use together at a time)
Subtract to get 5
Expand 8!
Expand 5!
Cancel
Simplify
Now multiply 8*7*6 to get 336
So 8 choose 3 (where order does matter) yields 336 unique combinations
Please let me know if you need any clarification. I'm always happy to answer your questions.
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