There are 28 students in a class who want to be members in the school 's physics, math and literature clubs having only 6,8 and 10 open seats respectively. Sadly, some of the students will not be able to join any club. In how many ways can the students become members of the different clubs to their full capacity?

There are 28 students in a class who want to be members in the school 's physics, math and literature clubs having only 6,8 and 10 open seats respectively. Sadly, some of the students will not be able to join any club. In how many ways can the students become members of the different clubs to their full capacity?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 34RE: A palette of water color paints has 3 shades of green, 3 shades of blue, 2 shades of red, 2 shades...

See similar textbooks

Similar questions

How many ways can 4 men and 4 women stand in line if all the women are first?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 8%, the Jeep by 5%, and the Toyota by 12%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year?
A car wash offers the following optional services to the basic wash: clear coat wax, triple foam polish, undercarriage wash, rust inhibitor, wheel brightener, air freshener, and interior shampoo. How many washes are possible if any number of options can be added to the basic wash?
A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink. If there are four main courses, three desserts, and six drinks to pick from, in how many ways can a customer select a meal consisting of one choice from each category?
A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?