A company has 5 officers and 4 directors (9 different people). In how many ways can a committee of 4 be selected from these 9 people so that the following hold? (a) 2 members are officers and 2 are directors.  ways (b) 3 members are officers and 1 is a director.  ways (c) All the members are officers.  ways (d) There are no restrictions.  ways

There are 4 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 3 men are to be appointed. In how many ways can this be done if the following are available to serve? (a) 9 men and 8 women ways(b) 4 men and 5 women ways

In how many ways can a committee of three men and four women be formed from a group of eleven men and ten ​women?

Hale Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each. Position People interested Faculty member Mrs. Gray, Ms. Foster, Mr. Harris Male student Female student Abdul, Ravi, Sam, Chris Laura, Christine, Melissa, Karen Dr. Peterson, Mr. Hughes, Ms. Clark, Ms. Hernandez Based on this list, how many ways are there to fill the four committee positions? Parent Explanation Check X 5 hp Ⓒ2022 McGraw Hill LLC. All Rights Reserved Terms of Use Privacy Ce