c. How many subsets of A contain only even numbers? d. How many subsets of A contain an even number of elements?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Only need answers C and D. Those answers are incorrect.

Part C 

C14+C24+C34+C44=4+6+4+1=15

Hence number of subsets of A having only even numbers is 15

Part D

Hence Number of subsets having even number 511-31=480

Answer : 480

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}.
a. How many subsets of A are there? That is, find |P(A)|.
b. How many subsets of A contain exactly 5 elements?
c. How many subsets of A contain only even numbers?
d. How many subsets of A contain an even number of elements?
Transcribed Image Text:Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many subsets of A are there? That is, find |P(A)|. b. How many subsets of A contain exactly 5 elements? c. How many subsets of A contain only even numbers? d. How many subsets of A contain an even number of elements?
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