Question 29
Martin the gardener has 3 new vegetable beds, near the kitchen, laundry and shed. Each year he will plant one bed with tomatoes, one with beans, and one with carrots. He needs a schedule for planting that goes for 8 summers. To balance the disease risk and soil nutrients, his schedule must follow these rules:
- A bed that has tomatoes one summer can’t have tomatoes next summer or the one after.
- Carrots can’t be in a bed that had beans last summer.
In how many ways can he schedule his vegetable planting for these 8 summers?
- A bed that has tomatoes one summer can’t have tomatoes next summer or the one after.
- Carrots can’t be in a bed that had beans last summer.
In how many ways can he schedule his vegetable planting for these 8 summers?