Four members from a 31-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible? ...... There are possible different leadership structures. (Type an integer or fraction. Simplify your answer.)

A committee of 5 people is to be formed from the following 10 people: Len, Mia, Max, Ted, Mel, Ann, Jim, Tim, Moe, Kim. How many combinations are there if there must be exactly 3 people on the committee whose names start with 'M'? Select one: O a. 10C5 O b. Oc. O d. 10P5 (4C3) (6C₂) (4P3) (6P2)

Four members from a 43-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible? There are possible different leadership structures. (Type an integer or fraction. Simplify your answer.)

How many ways can a treasurer, vice president, and president be chosen from a group of 15 candidates?

Twelve wedding guests are assigned seats in the northwest corner of the reception hall. Show all work. a. If the seats are numbered, how many ways can the 12 guests be seated in 3 chairs? b. If the reception hall instead assigned 6 guests per table, how many ways can 12 guests be assigned to a table?

Bread Meat Spread Mayo (0.5) Honey Oat Ham (0.4) (0.6) Mustard Turkey (0.4) White (0.2) (0.6) Ranch (0.3)

A computer programming team has twelve members. Suppose seven team members are women and five are men. How many groups of five can be chosen that contain two women and three men? (select the correct answer) O 165 ○ 210 ○ 350 O 125 ○ 56