How do you calculate how many possible combinations of x different numbers out of y total numbers: no order? - online combination calculator for master lock
such as the numbers 0-37, if I wanted that all possible combinations of 4, not repeated in different orders, how can I calculate? For example, a combination 4-3-3-7. 4-3-7-3 and are considered a combination, because they all have the same numbers. Is there an online calculator, I could not find. In addition, a program that would give me all these combinations, in particular.
Thursday, February 4, 2010
Online Combination Calculator For Master Lock How Do You Calculate How Many Possible Combinations Of X Different Numbers Out Of Y Total Numbers: No Order?
2 comments:
The number of possible combinations of the various elements and x () is without repetition given by the following formula --
And! / (X! * (Yx)!)
where
x! = 1 * 2 * 3 x ......*
This is a fundamental principle of combinatorial theory. You can find more information here --
http://en.wikipedia.org/wiki/Combination ...
(38 / 4) * (37 / 3) * (36 / 2) * (35 / 1)
Or
* 9.5 * 12.333333333333333333333333333333 ...
Answer = 73,815
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