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

Step-by-step solution

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+ 12 11 2 1 + 12 11 10 3 2 1 + 12 11 10 9 4 3 2 1 =12+66+220+495=793