Question

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?

Answer 1

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

Answer 2

but, that counts abc as different from bca

Answer 3

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

Answer 4

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

Answer 5

and that equals??

Answer 6

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

Answer 7

ok. then whats the final anseer?

Answer 8

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