Answer and step-by-step explanation:
Instead of adding he should have multiplied.
The fundamental counting principle states that to find the total number of choices, we multiply the number of choices for each part of it.
We have 2 choices for type; 2 choices for transmission; 5 choices for color; and 2 choices for top. This gives us
2(2)(5)(2) = 40 different choices.
You can use the rule of product from combinatorics to find where is Jordan making mistake in his statement.
The error of Jordan is in his addition of those number of ways. He needs to multiply them to get the total possible vehicle choices.
If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in
[tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
He has these choices:
For type: 2 choices
For transmission : 2 choices
For color : 5 choices
For Top : 2 choices
By using product rule to get one-one of these combinations, we get:
Total possible vehicle choices = [tex]2 \times 2 \times 5 \times 2 = 40 \: \rm ways[/tex]
Thus,
The error of Jordan is in his addition of those number of ways. He needs to multiply them to get the total possible vehicle choices.
Learn more about rule of product in combinatorics here:
https://brainly.com/question/2763785
