| Property Of Possible Combinations |
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x! divided by x = the number of possible combinations, this can also be interpreted as x-1! Where x is the number of objects that can be combined. The "!" sign means factorial, which means that you multiply that number by the next number down in a series of integers until you reach 1. This property is deemed accurate by many a math student at Woodward Academy and has been proven many times. An example of when this property is appropriate is presented below: There are 4 points in the coordinate plane. Assuming that they are not the same point, indicate the number of possible line segments you can make. 4 points are below: . . . . If you wanna work it out, you get... . . . . A B C D segments AB, BC, CD, AC, BD, AD 6 possible combinations. So, now use the property:
And theres your answer, and this is way easier to do when you get into the higher numbers of points. -- 21:46, 17 April 2006 (UTC) |
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