4 ms·
You've defined the number of permutations if each number can be picked more than once not the number of combinations. Unless the numbers need to be picked in or
by cd34 15y ago
You've defined the number of permutations if each number can be picked more than once not the number of combinations. Unless the numbers need to be picked in order:
49 * 48 * 47 * 46 * 45 * 44 (each time you pick, there is one fewer item in the pool)
But, since the order in which the items are picked isn't important:
10068347520 (product above) / (6 * 5 * 4 * 3 * 2 * 1)
or
1:13983816
Your odds for winning five out of six would be calculated the same way:
49 * 48 * 47 * 46 * 45 / (5 * 4 * 3 * 2 * 1)
or
1:1906884 - roughly 1 in 2 million.
However, since she picked those numbers and won, do you know what the odds are that those numbers will win again?
1:1906884 - roughly 1 in 2 million. Like a coin toss, yesterday's results have no influence on today's results.
I consider those wins to be lucky, but, I certainly wouldn't start throwing cash at the lottery expecting similar wins.