One of the uk lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. the winning numbers are drawn at random and the order is not important. determine the probability that a randomly selected set of six numbers will win the lottery. 4.167 × 10-6 8.63 × 10-7 5.467 × 10-6 7.15 × 10-8 will mark branliest

As in this problem the order of numbers does not matter We are talking about a combination and not to permutation.
 So to determine the probability that a set of six randomly selected numbers wins the lottery we need to first draw the combination of 6 in 49 without repetition:
 C (49.6) = 49! / (6! (49-6)!) = 13983816
 Then there are 13983816 combinations of possible numbers for this case.
 Finally the probability is:
 p = 1/13983816
 p = 7,151 x10 ^ -8
 The correct option is the last