Problema Solution
Dusty Rhodes is planning to buy a new dirt bike. The different available options are:
a) She can choose either regular tires or extra heavy-duty tires.
b) She can choose to get plastic, vinyl, cloth or leather for the seat.
c) She can choose a paint colour: Bad Brown, Sick Silver, or Grease Black
In how many different ways can she order her new bike?
Answer provided by our tutors
lets denote
the set of tire options A = {regular tires, extra heavy-duty tires}, A has 2 elements
the set of seat options B = { plastic, vinyl, cloth, leather}, B has 4 elements
the set of paint color options C = {Bad Brown, Sick Silver, Grease Black}, C has 3 elements
since the order of picking is not important that is for example
(regular tires, plastic seat, bad brown color) is the same as (plastic seat, bad brown color, regular tires)
we find the solution by multiplying the number of elements for each set that is
2*4*3=24 different ways a new bike can be ordered.