Question

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

• A. 5040
• B. 6210
• C. 385
• D. 1110

Answer 1

The correct option is C

385

Number of ways in which a voter can vote
${=}^{10}{C}_1{+}^{10}{C}_2{+}^{10}{C}_3{+}^{10}{C}_4$
$=10+45+120+210$
$=385$