Term for Patterns Within A Permutation

Question

For instance, the permutations of the set {1,2} taking 2 elements would be:

• {1,2}
• {2,1}

and with repitition

• {1,1}
• {2,2}

I'm wondering if there is a term to describe the concept of patterns within these permutations such as:

• {1, }
• { ,1}
• {2, }
• { ,2}