6.) During an offer from GAIA Computers, a customer who purchased a computer and printer was given the option to choose three free computer programs. There are 12 different computer programs to choose from. How many different combinations of programs can be chosen?

Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The total set of applicants was then reduced to 12 candidates to consider for interviews, and 5 of them were selected for an interview. Among those who are interviewed, the committee will rank the top three candidates and submit the list to their boss who will make the final decision. How many ways are there to create the ranked list from the 5 interviewees?

A marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order in a scaled-down socially-distanced New Year parade.  How many different possibilities are there if the selected trio must include at least one piper?

2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran hour, she had heard 25 songs. All but 1 song were about either truck drivers, being in love,hound-dog owners, or some combination of the three. She noted the following information: Allof the truck drivers were in love. Three-fourths of the truck drivers were not hound-dogowners. There were six hound-dog owners who were in love. Of the hound-dog owners whowere not truck drivers, half of them were in love. Eighty percent of all the songs concernedpeople in love. How many songs concerned people who were in love but were neither truckdrivers nor hound-dog owners?