# probability

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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 selected? What is the probability of winning?

• probability -

There will be C(44,5) ways to choose 5 numbers from 44 or 44!/(5!39!) or
1086008 ways

so the prob of winning is 1/1086008

• probability lottery -

if 89,88,45,9,33, were selected from 1-90, what are the five numbers which will be selected next.

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