#K82062. Permutation Calculation
Permutation Calculation
Permutation Calculation
You are given two integers n and k (with 0 ≤ k ≤ n) and you need to compute the number of permutations of n elements taken k at a time.
The answer is given by the formula: \(P(n,k)=\frac{n!}{(n-k)!}\). This formula represents the number of ordered arrangements when selecting k elements from a set of n distinct elements.
For example, when n = 5 and k = 3, the calculation is:
P(5,3) = 5 * 4 * 3 = 60
Your task is to read the two numbers from standard input and output the computed number of permutations to standard output.
inputFormat
The input consists of a single line with two integers n
and k
separated by space.
Constraints: 0 ≤ k ≤ n.
outputFormat
Output the number of permutations \(P(n,k)=\frac{n!}{(n-k)!}\) as a single integer.
## sample5 3
60