Examine the following data table and answer each question

count of items in the set

$2$

$4$

$10$

number of unique patterns with $3$ items

$8$

$64$

$1000$

a$)$ Write the function showing the relationship between the count of items in the set and the number of unique patterns formed with $3$ items from the set

b$)$ Plot the data from the table on a two$-$dimensional chart

c$)$ List the Big $O$ notation for an algorithm with time complexity matching the relationship between the count of items in the set and the number of unique patterns formed with $3$ items from the set