To find: the value of ¹⁰P₄

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

Therefore,

¹⁰P₄

¹⁰P₄10 × 9 × 8 × 7

¹⁰P₄5040

Thus, the value of ¹⁰P₄ is 5040.