A designer is using different types of bricks to make a wall design. The designer decides to use clay bricks, engineering bricks, sand lime bricks, and concrete bricks. The designer's logo needs to have one of each type of brick and more concrete bricks than sand lime bricks. The maximum number of bricks for the logo is 7 bricks. In how many ways can the logo be made if there are 3 of each brick available to make the logo?