A shirt company has 4 designs each of which can be made with short or long sleeves. there are 6 color patterns available. how many different types of shirts are available from this company

The number of types of shirt available from the company is the product when the number of designs is multiplied by the number of types of sleeves and the color patterns available. That is,

n (types of shirts) = 4 x 2 x 6 = 48

Thus, there are 48 types of shirts in the company.