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you are going to be overlapping numbers in the denominator, or bottom of the equation!Since basic algebra tells you that a 44 in the numerator will cancel out a 44 in the denominator, the same holds true for factorials. In the following equation, the 44!in the numerator and the 44!in the denominator can be cancelled out: 50 49 48 47 46 45 44!50 49 48 47 46 45 leaving 44!6!6 5 4 3 2 1 44!is the same as writing out all of the numbers on the bottom and crossing them out with all of the numbers on the top. We recognized ahead of time that this would happen and saved ourselves some time and space. You can write them out if you feel more comfortable visualizing the whole thing, but you will be using a lot of paper. Now you find yourself looking at a simple multiplication and division problem. Calculate the equation the rest of the way out, and what number do you get?I'll bet that it is 15,890,700. And you can easily calculate the factorial portion of these equations on your trusty scientific calculator. The really good ones include the binomial coefficient formula built in and you simply enter the "n" followed by the key and then the "x" and magically your answer appears!It is not magic, it is mathematics. OK, so you want to try and "trick" the system and increase your odds. Unfortunately, you can't trick statistics and you can't trick mathematics. One of the more common tactics that I see people trying is to combine their money together as a group, usually at their job, to increase their chances of winning.

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