Choosing officers: A committee consists of eleven women and seven men. Five committee members will be...
A committee consists of eight women and twelve men. Five committee members will be chosen as officers. How many different choices are possible?
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
A committee of five people is to be chosen from four married couples. a) How many different committees are there? b) What is the probability that a committee consists of three women and two man ? (4) 1. c) What is the probability that a committee has exactly one of married couples? d) What is the probability that a committee has at least one of married couples?
discrete math help 7. A seven-person committee composed of Greg, Hwang, Isaac , Jasmine, Kirk, Lynn, and Manuel is to select a chairperson, vice-chairperson, secretary, and treasurer. How many ways can the officers be chosen if either Greg is secretary or he is not an officer? b) Of the 100 members of the US Senate, 52 are Republicans and 48 Democrats. A committee of three members is to be formed. How many committees are possible if there must be at...
A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of members is mage randomly, use the Hypergeometric distribution to answer the following questions. 1. What is the probability that exactly 4 men are chosen for the committee? 2. What is the probability that 3 or fewer men are chosen for the committee? Round to 4 decimal places.
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability thata) all committee members are men.
Thirty students are members of the Biology Club: 21 are men (one of whom is named Joe) and 9 are women (one of whom is named Kate). Five students are to be selected (unordered, without replacement) to form the Leadership Committee. 12a) How many different Leadership Committees are possible? 12b) Refer to the previous question. How many options are there if Joe can’t be on the committee? How many options are there if Joe must be on the committee? Hint:...
a committee of 5 members is to be formed from a group of 7 women and 5 men. a) how many committees are possible with no restrictions? b) how many committees are possible with 3 women and 2 men?
A committee of four is chosen at random from a group of 7 women and 5 men. Find the probability that the committee contains at least one man.
(4 points) From a group of 8 men and 6 women a committee consisting of 4 men and 3 women is to be formed. How many different committees are possible if (a) 2 of the men refuse to serve together? answer: (a) 2 of the women refuse to serve together? answer: (a) 1 man and 1 woman refuse to serve together? answer: