Let S = {a, b,f,g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many subset of S have exactly 3 elements and one of the elements must be a? (3) How many subset of S have exactly 3 or 4 elements?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 3E
icon
Related questions
Question
Let S =
{a,b,f,g, i, k, m, q, t} .
(1) How many subset of S have exactly 3 elements?
(2) How many subset of S have exactly 3 elements and
one of the elements must be a?
(3) How many subset of S have exactly 3 or 4 elements?
Transcribed Image Text:Let S = {a,b,f,g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many subset of S have exactly 3 elements and one of the elements must be a? (3) How many subset of S have exactly 3 or 4 elements?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax