A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the students sit in a​ circle?

four people are tkaing a road trip. two sit in the front seat and two sit in the back seat. three of the people agree to share the driving. in how many different arrangement can the four people sit?

How many ways can captain, co captain and team manager be assigned to a group of 10 runners at a track and field meet?

How many ways can a committee of 4 be selected from a club with 12 members? A. 248 В. 24 C. 495 D. 11,880

At a restaurant 48 people were asked in a survey if they eat meat, fish, or both. Of those adults 10 only eat meat, 14 only eat fish, and 17 eat both.How many people eat meat? How many do not eat meat? How many people eat fish? How many do not eat fish? How many do not eat either one?

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

How many handshakes are required for a group of 8 people to shake everyone's hand?

A group of five people line up for a photo. There are two adults and three kids in the group.How many ways are there to line up the people if an adult must be on each end of the line up? 12 24 48 120

3) A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?

Tree Mr. and Mrs. Frank just moved into a new home and need to do some landscaping. They are going to purchase one tree, one shrub, and Oak (0) one lilac bush at random from the list to the right. Use this list to complete parts a) through e). Elm (E) Birch (8) Shrubs Lilac bushes Gold Mop (G) Primrose (P) Holly (H) Tinkerbelle (T) a) Determine the number of sample points in the sample space. The number of points in the sample space is b) Construct a tree diagram and determine the sample space Construct a tree diagram. C Determine the sample space. Choose the correct answer below. OA. O, E, B, G, H, P. T OB. GP GT. HP. HT OC. EHP, EHT, BGP, BGT, BHP, BHT OD. OGP. OGT, OHP, OHT, EGP. EGT, EHP, EHT, BGP, BGT, BHP, BHT c) Determine the probability that the Franks select a birch tree. The probability is (Simplify your answer.) COCCOD