simplify n!/2!(n-2)!
then convert it to the form of n2 + bn + c = 0
Been stuck on this question for days!!!!
The full question is:
One model of boat has n optional features available. When 2 optional features are chosen for this model of boat, 45 packages are available. The number of optional features, n, available for this model of boat can be determined using the following expression: n! / 2!(n - 2)! = 45 n > 2
Simplify this expression, and write the answer in the form n2 + bn + c = 0. Please show all work.
n! (n) ( n - 1)
_________ = __________ = (1/2) ( n ) ( n - 1) = (1/2) (n^2 - n)
(n - 2)! 2! 2
So.....I guess you want to set this to 0 ???
(1/2) ( n^2 - n) = 0 multiply both sides by 2
n^2 - n = 0
The full question is as followed:
One model of boat has n optional features available. When 2 optional features are chosen for this model of boat, 45 packages are available. The number of optional features, n, available for this model can be determined using the following expression: n!
------------------ = 45 n > 2
2! (n - 2)!
Simplify this expression, and writhe your answer in the form n2 + bn + c = 0. Show all work.