Petra is asked to color 6/6 of her grid. she must use 3 colors: blue, red and pink. there must be more blue sections than red sections or pink sections. what are the different ways petra can color the section of her grid and follow all rules

Let's take scenarios to help us.

Since, she must use 3 colours, then at least 3 pieces on the grid are of different colours. So, the remaining three will be of focus for this question. Another restraint we need to consider is that we must have more blue than red or pink.

Scenarios:

3 blue - 1 pink - 2 red (2 ways, because the pink and red can swap)
4 blue - 1 pink - 1 red

Hence, there are only three ways.