\(21\) ways
Permutation and Combination
- The permutation is the number of possible arrangements that can be constructed by selecting \(r\) items from a set of \(n\) items.
- The number of possible groups of \(r\) objects each that can be selected from the available \(n\) objects is the combination.
Total number of articles \(=7\)
Number of articles selected \(=5\)
So,
Number of ways five articles are selected out of seven articles \(=\binom{7}{5}\)
\(=\frac{7!}{5!(7-5)!}\\=\frac{7\times 6}{2}\\=\boldsymbol{21}\)
Find out more information about combinations here:
https://brainly.com/question/11732255?referrer=searchResults
