Determine the probability of that if you randomly order the numbers from 1 to 8 that at least 6 of them are in their correct slot.

This has to do with probability and factorials. Steps shown would be helpful.

- May 2nd 2010, 01:19 PMsapphireRandom order of numbers from 1 to 8 - at least six are in their correct slot.
Determine the probability of that if you randomly order the numbers from 1 to 8 that at least 6 of them are in their correct slot.

This has to do with probability and factorials. Steps shown would be helpful. - May 2nd 2010, 02:10 PMPlato
If one rearranges a string of n different items so that no one item appears in its original position that is called a

*derangement*.

The number of derangements of n items is given by .

So to rearrange so that at least six numbers remain in the correct position can be done

in number of ways.