Find the number of permutations of 10 objects, taken 4 at a time.

To find: the number of permutations of 10 objects, taken 4 at a time.

Formula Used:

Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,

ⁿP_r

¹⁰P₄

¹⁰P₄10

¹⁰P₄5040

Hence, the number of permutations of 10 objects, taken 4 at a time is 5040.