A search engine randomly orders the top ten results of a search and displays three of these as “prime searches” ordered as first, second, and third recommendations.

part a. How many possible ways might the “prime searches” be displayed? Blank 1

part b. If Holly’s Hardware is in the top ten results, how many “prime searches” lists include Holly’s Hardware as one of the three recommendations? Blank 2

parts c and d. What is the probability that Holly’s Hardware is in the “prime searches”? (Answer as a fraction in lowest terms.)     Blank 3  / Blank 4