Question

suppose you find six articles related to the topic of your research paper. in how many ways can you choose four articles to read

Answer 1

Given

Number of articles you have to read = 6

Find

Number of ways to choose four articles to read.

Explanation

here , we apply permutations,

$^nP_r=\frac{n!}{(n-r)!}$

so ,

$\begin{gathered} ^6P_4=\frac{6!}{(6-4)!} \\ \\ ^6P_4=\frac{6!}{2!} \\ \\ ^6P_4=\frac{6\times5\times4\times3\times2!}{2!} \\ \\ ^6P_4=360 \end{gathered}$

Final Answer

Hence , the number of ways to choose four articles to read is 360