Let D be a standard deck of cards, let SV = {A♡, K♡,Q♡, JO}. a) List all the subsets of S♡ that contain both the A♡ and KO. How many subsets of this type are there? Discuss why this is the same number as all the subsets of {Q♡, J♡}. b) How many subsets of D contain both the A♡ and K♡?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Let D be a standard deck of cards, let S♡ = {A♡, K♡,Q♡, JO}. a) List all the
subsets of S♡ that contain both the A♡ and K♡. How many subsets of this type
are there? Discuss why this is the same number as all the subsets of {Q♡, J♡}.
b) How many subsets of D contain both the A♡ and K♡?
Transcribed Image Text:Let D be a standard deck of cards, let S♡ = {A♡, K♡,Q♡, JO}. a) List all the subsets of S♡ that contain both the A♡ and K♡. How many subsets of this type are there? Discuss why this is the same number as all the subsets of {Q♡, J♡}. b) How many subsets of D contain both the A♡ and K♡?
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