Provide an appropriate response.
-Suppose there are 4 trains connecting town X to town Y and 6 roads connecting town Y to town Z. In how many ways can a person travel from X to Z via Y?
A) 10
B) 16
C) 12
D) 24
E) 36

Question

Quizplus · Accepted Answer

To reach from X to Z via Y, we need to choose one of the 4 trains and one of the 6 roads. So, the total number of ways will be the product of the number of choices for each step, which is 4*6=24. Therefore, the answer is D) 24. Using the multiplication rule of counting, we can find the total number of ways to travel from X to Z via Y by multiplying the number of options for each leg of the journey. Therefore, the total number of ways to travel from X to Z via Y is 4 x 6 = 24. Hence, the correct choice is D.

Provide an Appropriate Response