Verified Solution • 2025–26 Session moderate

QJEEM06Ma8e37: JEE Main 2006 Mathematics - Class 11 JEEM06Ma8e37 Solution: At an election, a voter may vote for any number of candidates,…

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 selected, if a voter votes for at least one candidate, then the number of ways in which he can vote is

Multiple Choice Options

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

Step-by-Step Verified Solution

A voter can give vote to either 1 candidate or 2 candidates or 3 candidates or 4 candidates.

Case 1 : When he give vote to only 1 candidate then no ways = 10C1

Case 2 : When he give vote to 2 candidates then no ways = 10C2

Case 3 : When he give vote to 3 candidates then no ways = 10C3

Case 4 : When he give vote to 4 candidates then no ways = 10C4
So, total no of ways he can give votes
= 10C1+10C2+10C3+10C4
= 385

Note : Here we use addition rule as he can vote any one of those four rules. Whenever there is "or" choices, we use addition rule.

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