A science class must choose 5 out of 16 science fair projects to advance to the county competition. How many different groups of projects could be selected?

Question

amistre64 · Answer

16 chances on the first pick
15 on the second pick
14, then 13 then 12 ... then its full

amistre64 · Answer

but, that counts abc as different from bca

amistre64 · Answer

to weed out the repeats since groups dont care about order we can divide that by 5!

amistre64 · Answer

16P5
----- = 16C5
  5!

anonymous · Answer

and that equals??

amistre64 · Answer

you should have material that explains the notation better than I can

anonymous · Answer

ok. then whats the final anseer?

anonymous · Answer

$$\dbinom{16}{5}$$ but that doesn't answer the question, it just restates it in notation