At an election a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out of the 12 contested in the election and voter votes for at le

Question

At an election a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out of the 12 contested in the election and voter votes for at least one candidate, then the number of way of selections

TestHub · Accepted Answer

Total contested candidates = 12 4 candidates are to be elected and voter votes for at least one candidate then total number of ways of selections. = 12 C 1 ​ + 12 C 2 ​ + 12 C 3 ​ + 12 C 4 ​ = 12 + 2 × 1 12 × 11 ​ + 3 × 2 × 1 12 × 11 × 10 ​ + 4 × 3 × 2 × 1 12 × 11 × 10 × 9 ​ = 12 + 66 + 220 + 495 = 793

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