#C11249. Counting Distinct Bib Numbers
Counting Distinct Bib Numbers
Counting Distinct Bib Numbers
You are given an integer k. In this problem, you need to calculate the number of distinct bib numbers of length k that can be formed using the digits 1 through 9. Each bib number must have its digits arranged in strictly increasing order.
This is equivalent to choosing k distinct digits from 9 digits, and the answer is given by the combination formula:
\( C(9, k) = \frac{9!}{k!(9-k)!} \)
Your program should read the input from stdin
and write the output to stdout
.
inputFormat
The input consists of a single integer k (1 ≤ k ≤ 9), read from stdin
.
outputFormat
Output the number of distinct bib numbers that can be formed of length k. The answer should be output to stdout
.
1
9