1-The Department of Biology consists of 5 dogs, 10 cats, and 4 hamsters. In how many ways can one dog, one cat, and one hamster be chosen to attend a global warming conference?

2-A coin is flipped 10 times. How many different sequences of heads and tails are possible? (Assume the coin never stands on its edge.)

3- The Smiths live in Las Vegas, New Mexico. For their next vacation, they are going to Las Vegas, Nevada. They would like to stop by Flagstaff first and then Phoenix on the way. Suppose there are 7 ways to travel from Las Vegas, New Mexico to Flagstaff, 5 ways to travel from Flagstaff to Phoenix, and 3 ways to travel from Phoenix to Las Vegas, Nevada, what is the total numbers ways they can complete the trip from Las Vegas, New Mexico to Las Vegas, Nevada?

4-A quiz consists of 8 multiple-choice questions, and there are 4 possible answers for each question. If an answer must be chosen for each question, what is the total number of ways the quiz can be answered?

5-In how many ways can the Starving Poets' Society select the number one, number two, and number three poems of the year from 15 submissions?

6-The Rocket Man built a spaceship in his backyard. In addition to the driver (which by default will be the Rocket Man himself, of course), the spaceship can hold 3 more passengers. The Rocket Man has 11 loyal friends. In how many ways can the Rocket Man pick 3 of his 11 loyal friends to join him on the maiden voyage?

7-In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice to 3 of the 14 students in her class, one item per student?