Question

Permutation, solve for n: nP3 = 17(nP2)

Answer 1

`nP3=(n!)/((n-3)!)`

`17(nP2)=17((n!)/((n-2)!))`
Therefore we can write the equation as follows:

`(n!)/((n-3)!)=17((n!)/((n-2)!))`
Dividing both sides by n!, we get:

`(1)/((n-3)!)=(17)/((n-2)!)`

`((n-2)!)/((n-3)!)=17`
Therefore n - 2 = 17 and n = 19
The answer is: n = 19