Question

Little Ahmad is painting a strip made of squares, but he has a limited number of paint strokes. He can select 2 neighboring unpainted cells and paint both of them red. For example, there are 3 possible ways to paint a strip of 5 squares with only 2 paint strokes. |RED|RED|RED|RED | | | RED | RED | | RED | RED | | |RED|RED|RED | RED | How many different strips of 8 squares can Ahmad make with exactly 3 paint strokes?

          Little Ahmad is painting a strip made of
squares, but he has a limited number of
paint strokes. He can select 2
neighboring unpainted cells and paint
both of them red. For example, there
are 3 possible ways to paint a strip of 5
squares with only 2 paint strokes.
|RED|RED|RED|RED |
|
| RED | RED |
| RED | RED |
|
|RED|RED|RED | RED |
How many different strips of 8 squares
can Ahmad make with exactly 3 paint
strokes?

Little Ahmad is painting a strip made of
squares, but he has a limited number of
paint strokes. He can select 2
neighboring unpainted cells and paint
both of them red. For example, there
are 3 possible ways to paint a strip of 5
squares with only 2 paint strokes.
|RED|RED|RED|RED |
|
| RED | RED |
| RED | RED |
|
|RED|RED|RED | RED |
How many different strips of 8 squares
can Ahmad make with exactly 3 paint
strokes?

Added by Nancy B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Nick Johnson

07/26/2023

Step 1

We can start by listing out all the possible combinations of 3 paint strokes on an 8-square strip. Show more…

Show all steps

Thanks for your feedback!

Little Ahmad is painting a strip made of squares, but he has a limited number of paint strokes. He can select 2 neighboring unpainted cells and paint both of them red. For example, there are 3 possible ways to paint a strip of 5 squares with only 2 paint strokes: REDREDREDRED RED|RED REDRED IREDIRED|REDIRED How many different strips of 8 squares can Ahmad make with exactly 3 paint strokes?