Answer:
The value of f(g(3) = 1,008
Step-by-step explanation:
<u>Step:-1</u>
Given f(x) =
and g(x) = 3x+9
h(x) = 12+x
Given g(x) = 3x+9
put x =3
g(3) = 3(3)+9
<u> g(3) = 18</u>
<u>Step :-(2)</u>
f(g(3)) = f(18)
f(g(3) = 3(18)^2 +2(18) (since f(x) =)
= 1,008
<u>Final answer</u>:-
The value of f(g(3) = 1,008
The number of ways people can get off the elevator is 604800 ways.
In this question,
Number of people, n = 7
Number of floors, r = 10
The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.
Number of ways people can get off the elevator can be calculated as
⇒
⇒
⇒
⇒
⇒
⇒ 604800 ways.
Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.
Learn more about number of ways here
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