Let S = {1,2,3, 4, 5} a. How many subsets are there of cardinality 4? 5 (Note: you can enter “C(n,k)" for (").) b. How many subsets of cardinality 4 have {2,3, 5} as a subset? 10 c. How many subsets of cardinality 4 contain at least one odd number? 32 d. How many subsets of cardinality 4 contain exactly one even number? 14

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
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Discrete Math: Binomial Coefficients

Let S = {1,2,3, 4, 5}
a. How many subsets are there of cardinality 4?
5
(Note: you can enter "C(n,k)" for (").)
b. How many subsets of cardinality 4 have {2, 3, 5} as a subset?
10
c. How many subsets of cardinality 4 contain at least one odd number?
32
d. How many subsets of cardinality 4 contain exactly one even number?
14
Transcribed Image Text:Let S = {1,2,3, 4, 5} a. How many subsets are there of cardinality 4? 5 (Note: you can enter "C(n,k)" for (").) b. How many subsets of cardinality 4 have {2, 3, 5} as a subset? 10 c. How many subsets of cardinality 4 contain at least one odd number? 32 d. How many subsets of cardinality 4 contain exactly one even number? 14
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