# A museum worker randomly displays 6 historical writings in a row. What is the probability that she lines them up from the oldest to the most recent from left to right?

Nov 30, 2017

The probability is $1$ in $720$ or $\frac{1}{720}$.

#### Explanation:

There is only one combination in which she lines them all correctly in chronological order.

Hence, we have to find the number of possible outcomes,

"Number of possible outcomes"=""_6P_6 =(6!)/((6-6)!)=720

$\text{Probability"="number of favourable outcomes"/"number of possible outcomes} = \frac{1}{720}$