(47 x 46 x 45 x 44 x 43 x 42) / (6 x 5 x 4 x 3 x 2) = 10,737,573
If we could type one of them every second without a break, it would take us
a little over 4 months to type them all.
On the long-long-long-term average, if you keep playing and you pick your numbers
perfectly randomly, you can expect to win once about every 11 million times you play.
Also, the game doesn't have any memory. The winning combination next week
has absolutely no connection to anything that has come up for the past 5 weeks,
or ten weeks, or 20 years. If the past winning numbers have any influence on
future winning numbers, then the game is rigged and it would have been shut
down by now. There is no such thing as a number that's "due" to hit. The human
brain wants to think so, and that's why people keep playing.
Now you know how the state can afford to run the game, and why they do it.
Here's a hint: It's not designed to make you rich, or anybody else in your position.
There are 51C6 = 51*50*49*48*47*46/(6*5*4*3*2*1) = 18,009,460 combinations.
The number of combinations is 50C6 = 50*49*48*47*46*45/(6*5*4*3*2*1) = 15,890,700
Prime numbers 41, 43, 47
47 = XLVII
1 and 47.
There are 10,737,573 combinations and you must think I am mad if you think I am going to list them!
This questions can be rewritten as 52 choose 6 or 52C6. This is the same as (52!)/(6!(52-6)!) (52!)(6!46!) (52*51*50*49*48*47)/(6*5*4*3*2*1) 14658134400/720 20358520 There are 20,358,520 combinations of 6 numbers in 52 numbers. This treats 1,2,3,4,5,6 and 6,5,4,3,2,1 as the same combination since they are the same set of numbers.
There are 51C6 = 51*50*49*48*47*46/(6*5*4*3*2*1) = 18,009,460 combinations.
The number of combinations is 50C6 = 50*49*48*47*46*45/(6*5*4*3*2*1) = 15,890,700
Assuming a number can appear only once, there are 47C5 = 47*46*45*44*43/(5*4*3*2*1) = 1,533,939 combinations.
There are 50C3 = 50!/(3!47!) = 19,600 such possible combinations. The list [could] start: {1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 2, 6}, ... and end: ..., {47, 48, 49}, {47, 48, 50}, {47, 49, 50}, {48, 49, 50}. I'll let you fill in the other 19,592 combinations.
if we do not want to use the same number more than once then the answer is: 49*48*47*46*45*44 however if we can use a number more than once the solution is: 49^6
Numbers are 47 and 48
Prime numbers 41, 43, 47
17
-16
0.1579