You are picking 7 people out of 25 total. How many ways are there to do this if... (a) ...seating order matters?

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?

Written Response 1) A school's debate team consists of 9 students and must consist of at most 3 boys. If 12 boys and 9 girls try out for the team, then the total number of ways the team can be chosen is?

An English class consists of 24 students, and five are to be chosen to give speeches in a school competition. In how many different ways can the teacher choose the team, given the following conditions? (a) The order of the speakers is important.(b) The order of the speakers is not important.