The math club at college has 16 students - 10 males and 6 females. (a) The club wants to select a group of 4 students to take part in a math competition. In how many ways can they do it if at least two females are chosen? (give a nurmerical answer) (b) The club wants to elect a president, a vice president, a treasurer and a secretary for the class. In how many ways can they do that? (c) A local company has donated 32 identical pens to be distributed to the club members. In how many ways can they be distributed so that each student gets at least one pen, and the secretary of the club gets at least 4.

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...
icon
Related questions
Question

The math club at college has 16 students - 10 males and 6 females.

(a) The club wants to select a group of 4 students to take part in a math competition. In how many ways can they do it if at least two females are chosen? (give a nurmerical answer)

(b) The club wants to elect a president, a vice president, a treasurer and a secretary for the class. In how many ways can they do that?

(c) A local company has donated 32 identical pens to be distributed to the club members. In how many ways can they be distributed so that each student gets at least one pen, and the secretary of the club gets at least 4. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON