How many distinct proper subsets are there of the set N= {9, 43, 66, 12, 34, 51, 22}?

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: How many distinct ten-digit passwords are possible if you must use at least one 26 lower case letter…

A: Given: you must use at least one 26 lower case letter from {a, b, . . . , z}, at least one 26 upper…

Q: If A is the set of all whole numbers less than 20 that are divisible by, 4, and B is the set of all…

A: A∪B is the union of set A and set B. This set contains all the elements in set A or set B. The Venn…

Q: A set contains eighteen elements. How many subsets containing six elements each can be formed from…

A: Since the order in which elements are arranged doesn't matter so use the combination rule to…

Q: How many strings of letters from the set (A, B} have length 11 and have exactly 4 A's (repeated…

A: The Answer is given in step-2.

Q: How many proper subsets are there in the set {L, M, N, O, P}?

A: A subset of a set is a collection of elements that are chosen from the original set.  the set…

Q: The set K of numbers is K={30,32,55,65,60,43,40,74,55,52} Find the mode of set L, where L= {Numbers…

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Q: How many 3-permutations of the set S = {a, b, c, d, e} are there?

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Q: A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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Q: How many proper subsets are there of the set A = {Mallory, Janet, Kaitlynn, Akira}?

A: Given,         The set A= Mallory, Janet, Kaitlynn, Akira .

Q: 15. How many subsets of the set {1,2,3,4,5,6} have at least 3 elements? O 35 O none of these O 42 O…

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Q: How many 4-letter strings of upper- and/or lowercase letters are there that contain at least two…

A: To determine the number of 4-letter strings of upper and /or  lowercase letters are there that…

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

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Q: 1 How many elements must a set have if the number of proper subsets of the set is of the total…

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Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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Q: Specify the sets by roster. (a) {Even counting numbers less than 16}     (b) {Positive multiples…

A: Specify the sets by roster. (a) {Even counting numbers less than 16} (b) {Positive multiples of 8}…

Q: 2. Let S = {100, 101, 102,...,999} so that [S] = 900. (a) How many numbers in S have at least one…

A: We need to find number of digits.

Q: how many subsetsof one or more elemets can be formed from a set containing 12 elements?

A: Use concept of power set

Q: A multiset is a collection of objects, just like a set, but can contain an object more than once…

A:

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that,Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Use Inclusion/ Exclusion to find the number of fruit baskets of size exactly 100 consisting of…

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Q: How many distinct proper subsets are there of the set in equals {10,48,63}

A: The set is  10, 48, 63

Q: How many subsets is obtained from a set with 5 elements?

A: Given n=5