Question

Suppose you find seven articles related to the topic of your research paper. In how many ways can you choose five articles to read?

Answer 1

I believe the answer would be 35 ways.

Answer 2

$21$ 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