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  3. let s = {1,2,3,...,10}. a. find the number of subs

Let S = {1,2,3,...,10}. a. Find the number of subsets of S that contain the number 5. b....

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Advance Math

Let S = {1,2,3,...,10}.

a. Find the number of subsets of S that contain the number5.

b. Find the number of subsets of S that contain neither 5 nor6.

c. Find the number of subsets of S that contain both 5 and6.

d. Find the number of subsets of S that contain no oddnumbers.

e. Find the number of subsets of S that contain exactly threeelements.

f. Find the number of subsets of S that contain exactly threeelements, one of which is 3.

g. Find the number of subsets of S that contain exactly fiveelements, all of them even.

h. Find the number of subsets of S with exactly five elements,including 3 or 4 but not both.

Answer & Explanation Solved by verified expert
4.0 Ratings (483 Votes)
a Number of subsets that contain 5 For each number 1 2 10 except 5 we have 2 possibilities it contains that number ornot Total such subsets is b Dont neither 5 nor 6 is as for each of the rest 8 numbers we    See Answer
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