How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at least 30 students, section 2 must have at least 30 students, Section 3 must have at least 30 students, and section 4 must have at least 32 students?

How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at least 30 students, section 2 must have at least 30 students, Section 3 must have at least 30 students, and section 4 must have at least 32 students?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated around a round table so that all the civil engineers do not sit together?
A committee of 5 students are to be chosen from 25 CS majors and 15 Math majors. How many of these possible committees have exactly 3 CS and 2 Math majors?
A total of 50 students are in a class and they are to be divided into groups of 5. How many different combinations of students are possible?
How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1 republican and at least 1 democrat must be on the committee?
In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of nine seats if the admirals sit at each end and the generals are to sit together?
Assume that the committee consists of 7 Trolls and 7 Ogres. A subcommittee consisting of 7 creatures is to be selected. (1) How many such subcommittees are possible if each subcommittee must contain exactly 4 Trolls and 3 Ogres? (2) How many such subcommittees are possible if each subcommittee must contain at least 1 and no more than 3 Ogres?
From a club of 19 people, in how many ways can a group of four members be selected to attend a conference?
The qualified applicant pool for three management trainee positions consists of nine women and six men How many different groups of applicants can be selected for the positions? How many different groups of trainees would consist entirely of women?
A certain student organization has 17 members - 7 math majors and 10 english majors. A committee of 8 is to be formed from these members and must have an equal number of math and english majors. How many distinct committees of this type can be formed?