Step 1 :Evaluate the permutation \( P(10,4) \)
Step 2 :Use the formula for permutations \( P(n, k) = \frac{n!}{(n-k)!} \) where \( n \) is the total number of items and \( k \) is the number of items to arrange
Step 3 :Substitute \( n = 10 \) and \( k = 4 \) into the formula
Step 4 :Calculate the permutation \( P(10,4) = \frac{10!}{(10-4)!} \)
Step 5 :The final answer is \( \boxed{5040} \)