3. Let A = {1,2,3,...,9}. (a) How many subsets of A are there? That is, find |P(A)|. Explain. (b) How many subsets of A contain exactly 5 elements? Explain. (c) How many subsets of A contain only even numbers? Explain. (d) How many subsets of A contain an even number of elements? Explain.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 5E
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i need answer of all 4 parts otherwise i will reject your answer. its not a tuff question.

3.
Let A = {1,2,3,...,9}.
(a) How many subsets of A are there? That is, find |P(A)|. Explain.
(b) How many subsets of A contain exactly 5 elements? Explain.
(c) How many subsets of A contain only even numbers? Explain.
(d) How many subsets of A contain an even number of elements?
Explain.
Transcribed Image Text:3. Let A = {1,2,3,...,9}. (a) How many subsets of A are there? That is, find |P(A)|. Explain. (b) How many subsets of A contain exactly 5 elements? Explain. (c) How many subsets of A contain only even numbers? Explain. (d) How many subsets of A contain an even number of elements? Explain.
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