What is the difference between facilitate and facility?

[Lenay]

Business Idiom in English, Intermediate level

ESL/EFL Test #50 "Computers", question 9

In order to ......... the method by which staff pay is calculated the company has bought a new software package.

(a) facile
(b) facility
(c) factual
(d) facilitate

Business Idiom in English, Intermediate level

ESL/EFL Test #50 "Computers", answer 9

In order to facilitate the method by which staff pay is calculated the company has bought a new software package.

Correct answer: (d) facilitate

Your answer was: incorrect
In order to facility the method by which staff pay is calculated the company has bought a new software package.
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why is facilitate and don't facility?

Lenay

[Mister Micawber]

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A verb is required here; the only verb in the list is 'facilitate'.
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Native English teacher at Mister Micawber's