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

  • Option 1)

    5040

  • Option 2)

    6210

  • Option 3)

    385

  • Option 4)

    1110

 

Answers (1)

As we learnt in

Number of Permutations with repetition -

The number of ways of filling r places where each place can be filled by any one of  n objects.

It is n^{r}

- wherein

Where r\geq 0

 

 

Correct option is 1.

 


Option 1)

5040

This is the correct option.

Option 2)

6210

This is an incorrect option.

Option 3)

385

This is an incorrect option.

Option 4)

1110

This is an incorrect option.

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