Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2024-part-03 — 168 problems (EN–VI) Question 168

Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)

Question 168

On a one-way road with two lanes, there are blue and red cars driving. The left lane contains only blue cars, the right lane only red. At a certain point, the cars have to merge to one lane. In doing so, the blue cars are a bit bolder than the red ones, sometimes causing several blue cars to end up behind each other, but never causing two red cars to end up behind each other. A little further on, the cars have to wait at a traffic light.
If you look at the first ten cars at the traffic light, how many possible colour combinations can occur? (So for example bbbbbbbbb or rbrbrbrbrb.)
A) 89
B) 100
C) 144
D) 233
E) 1024