five numbers are to be picked, without repetition from 44 numbers to determine the winner of the fortune five game in the state lottery. If the order of the numbers is insignificant how many different ways can a winning quintuple be seleted? what is the probability of winning?
# of ways of selecting winning quintuple = permutations of 5 objects = 5!
= 5 x 4 x 3 x 2 x 1
probability of winning =
n!/(r!(n-r)!) =
44!/(5!39!)