There are four routes to travel from city A to city B and six routes from city B to city C. How many routes ar

Question

There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C?

Accepted Answer

The correct answer is A) 24.

Explanation:
To find the total number of possible routes from city A to city C, passing through city B, we use the multiplication principle of counting. If there are 'm' ways to do one task and 'n' ways to do a second task, then there are 'm x n' ways to do both tasks in sequence.

1.  Number of routes from city A to city B = 4.
2.  Number of routes from city B to city C = 6.

Total routes from city A to city C = (Routes A to B) x (Routes B to C)
Total routes = 4 x 6 = 24.

Analysis of options:
A) 24: This is correct, derived from multiplying the number of routes for each segment of the journey.
B) 12: Incorrect. This would be 4 x 3 or 6 x 2, not applicable here.
C) 10: Incorrect. This would be 4 + 6, which is the addition principle, used when choosing one route OR another, not when performing actions in sequence.
D) 8: Incorrect. This would be 4 x 2 or 6 + 2, not applicable here.

Answer

24

Answer

12

Answer

10

Answer

8

There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C?

Explanation

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