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
A. 793
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
Related: Mathematics — Permutation Combination · All PYQ Banks