Thursday, February 4, 2010

Determine whether the statement is true or false. Explain.?

The number of permutations of two items from a data set is always two times the number of cominations when taking two objects at a time from the same data set.Determine whether the statement is true or false. Explain.?
True.





Each combination has two permutations.


Example: Suppose your set is {a,b,c} There are 3choose2 combinations, and they are ab,ac,bc. Each of these combinations can be written in reverse, so the permutations are ab,ba,ac,ca,bc,cb.

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