At an election, a voter may vote for any number of candidates, not greater than the number to be elected.…

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 of be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is
  1. 5040
  2. 6210
  3. 385
  4. 1110

Solution

${ }^0 C_1+{ }^{10} C_2+{ }^{10} C_3+{ }^{10} C_4$ $=10+45+120+210=385$

Asked in: JEE Main 2006

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