Fifteen math majors are in the department lounge causing trouble and bullying the Computer Science majors. The chair of the department, The Billster, has two tasks to be completed. The first is to fill Billster's car with gas which he figures will require three math majors to complete. The second is to check the spelling on the department welcome sign which will require four math majors to complete. How many ways can these tasks be assigned to the fifteen math majors? How many ways can they be assigned if each task also requires that one person be put in charge? a student can only do one task at most and cannot be assigned to two tasks at the same time. For example, a student would not be assigned to proof read and service a car.

Fifteen math majors are in the department lounge causing trouble and bullying the Computer Science majors. The chair of the department, The Billster, has two tasks to be completed. The first is to fill Billster's car with gas which he figures will require three math majors to complete. The second is to check the spelling on the department welcome sign which will require four math majors to complete. How many ways can these tasks be assigned to the fifteen math majors? How many ways can they be assigned if each task also requires that one person be put in charge? a student can only do one task at most and cannot be assigned to two tasks at the same time. For example, a student would not be assigned to proof read and service a car.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 5CT: At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the...

See similar textbooks

Similar questions

Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
How many ways can 4 men and 4 women stand in line if all the women are first?
In how many ways can 5 people stand in a line if one person demands to be first?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?
To allocate annual bonuses, a manager must choose his top four employees and rank them first to fourth. In how many ways can he create the ‘Top- Four” list out of the 32 employees?
In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?