Statement-I: The number of permutations of n-different things taken any number of things at a time is ${ }^n{P}_n$  (repetitions are not allowed) 
Statement-II: The number of permutations of n-different things taken any number of things at a time is  ${ }^n{P}_1{+}^n{P}_2{+}^n{P}_3+\mathrm{.....}{+}^n{P}_n$   (repetitions are not allowed)
Which of the above statements is correct