The number of combinations of 50 things taken 5 at a time is (50! - 45!) / 5! or 2,118,760, so the probability of winning the lottery on 1 ticket by picking 5 numbers out of 50 numbers is 1 in 2,118,760, or 0.00000047197. More formally, the number of combinations of N things taken P at a time is (N! - (N-P)!) / P!
Trifecta bets are permutations, not combinations, and there are 6840 of them.
32 of them.
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