Question

Finding combinations
Evaluate each expression

Ten candidates are running for three seats in the student government. You may vote for as many as three candidates. In how many ways can you vote

Answer 1

\[\binom{10}{0}+\binom{10}{1}+\binom{10}{2}+\binom{10}{3}\]

Answer 2

\[1+10+\frac{10\times 9}{2}+\frac{10\times 9\times 8}{3\times 2}\]

Answer 3

i dont understand what meant \[\( 10 \0) \] it is when he dont vote for any candidate

Answer 4

yes

Answer 5

but it must no count

Answer 6

oh!
so one way that he can vote is for any of them

Answer 7

one way he can vote for no one
ten ways to vote for one
etc

Answer 8

i got thanks