women and 8 men are on the faculty in the mathematics department at a school. a) How many ways are there to select a committee of five members of the department if at least one woman must be on the committee? b) How many ways are there to select a committee of five members of the department if at least one woman and at least one man must be on the committee?

women and 8 men are on the faculty in the mathematics department at a school. a) How many ways are there to select a committee of five members of the department if at least one woman must be on the committee? b) How many ways are there to select a committee of five members of the department if at least one woman and at least one man must be on the committee?

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 club with 23 members is to select a committee of six persons. In how many ways can this be done?
A history class contains 8 male students and 6 female students. Find the number n of ways that the class can elect: (a) 1 class representative; (b) 2 class representatives, 1 male and 1 female; (c) 1 president and 1 vice president.
f) Student council needs to create a committee of 6 students to run their social events. 12 students applied to be on the committee, 8 women and 4 men. The committee must have at least 1 woman and at least 1 man. How many ways can the committee be selected?
there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?
Of the 58 students in a mathematics class, 22 are taking French, 24 are taking German, and 7 are taking both French and German. How many students in the mathematics class are taking neither French nor German? nothing students
In 2021, there were five women and four men on the Supreme Court in a country. In how many ways could the justices be seated in a row for a group picture in which the five women sat next to each other?
After selecting nine players for a baseball game, the manager of the team arranges the batting order so that the pitcher bats last and the best hitter bats third. In how many different ways can the remainder of the batting order be arranged?
If the chair of a math department has to appoint a committee of 4 professors from among the 10 professors in the department, how many different possibilities are there for the composition of the committee?
There are 10 trivia teams (Teams A through J), each with 5 members. 16 areselected for an all-star team. How many ways are there to select an all-star team which includes all members from A, all members from B, all members from C, or all members from D?