Question

In how many ways can five children line up in a row?

Answer 1

`5! = 5 xx 4 xx 3 xx 2 xx 1 = 120 ways`

Explanation:

`"Permutation" = ^nP_r = (n!)/((n-r)!)`

Where `n = 5 and r = 5 "(Since 5 students are taking at a time")`

`rArr (5!)/((5 - 5)!) = (5!)/(0!) = (5 xx 4 xx 3 xx 2 xx 1)/1 = 120 ways`

For more understand click to following link for a similar question to broaden your understand `->` https://socratic.org/questions/there-are-7-children-in-a-classroom-in-how-many-ways-can-they-line-up-for-recess

Hope this helps!