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      Question

      In an election, a voter may vote for any number of

      candidates not greater than the number to be chosen. There are 8 candidates and 5 members are to be chosen. In how many way can a person vote?
      A 108 Correct Answer Incorrect Answer
      B 218 Correct Answer Incorrect Answer
      C 156 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer
      E 224 Correct Answer Incorrect Answer

      Solution

      A voter may cast vote for either 1 candidate or 2 candidates or 3 candidates or 4 candidates or 5 candidates out of 8. The voter may cast vote for 1 candidate in 8C1 ways = 8 The voter may cast vote for 2 candidate in 8C2 ways = 28 The voter may cast vote for 3 candidate in 8C3 ways = 56 The voter may cast vote for 4 candidate in 8C4 ways = 70 The voter may cast vote for 5 candidate in 8C5 ways = 56 Total ways = 218

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