Question

The editorial staff of Oprah's O Magazine is reviewing 17 articles.They wish to select eight for the next issue of the magazine. In how many ways this task can be performed?

Answer 1

The editorial staff of Oprah's O Magazine is reviewing 17 articles. If they wish to select 8 articles for the next issue of the magazine; the maximum number of ways in which they can select the 17 articles = (Number of ways to select m objects from n distinct objects = )

Now, the articles will be arranged in an order in the magazine. The maximum number of ways in which they can arrange the selected 8 articles = 8! = 40320 (Number of ways of arranging n objects at n places = n!).

So, the total number of ways to perform the task = 24310*40320 = 980,179,200

The task can be performed in 980,179,200 ways.

Do comment for any doubts.