SOLUTION: Choosing six numbers that match six randomly selected balls when the balls are numbered 1 through 38.

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Question 1083703: Choosing six numbers that match six randomly selected balls when the balls are numbered 1 through 38.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are 38%2A37%2A36%2A35%2A34%2A33 ordered sequences of numbers that can be drawn.
However, the same set of 6 balls can be drawn in 6%2A5%2A4%2A3%2A2 different orders,
meaning that there are only
38%2A37%2A36%2A35%2A34%2A33%2F%286%2A5%2A4%2A3%2A2%29%25%222%2C760%2C681%22 different sets of 6 balls
that can be drawn.
Your chances of choosing the winning set of numbers are 1 in 2,760,681.
The probability of choosing the 6 numbers drawn is 1%2F2760681%29=about0.00000036 or about 0.000036%.