How many subsets does a set with 6 elements have?

Q: 4. How many subsets are there of {1, 2, 3, 4, 5}? How many contain at least three elements? How many…

A: Given set is S=1,2,3,4,5 Since we know that, if a set contains n elements, then total number of…

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

A: Given,no.of red marbles=4no.of green mables=3no.of lavender marbles=1no.of yellow marbles=3no.of…

Q: How many numbers in the set {1, 2, 3, ..., 346} are divisible by 5 or 7 ?

A: In the given problem we have to find how many numbers in the set 1, 2, 3, . . ., 346 are divisible…

Q: what is the fuzzy subset ? And give examples

A:

Q: Determine the # of subsets of {1,5,8,10,20} with the property that the sum of the elements in the…

A: Diagram are as under,

Q: How many ways you can draw 3 balls in a box of 5 balls, if we replace the ball in box after being…

A: Permutation: It means number of arrangements  be obtained  It is denoted by P(n,r) or Prn where n is…

Q: Find the sets A and B if A - B = {1, 5, 7, 8}, B - A = {2, 10}, and A N B = {3, 6, 9}.

A: We will find the sets A and B using the formula of set theory, which satisfy the given condition.

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

A:

Q: For the set B = {a,b, c, d, e} list all of the subsets having exactly two elements. O{b, c, d} O{a,…

A: We need to select the subsets of the set B={a, b, c, d, e} having exactly two elements (cardinality…

Q: U Expression for the section using the set names and appropriate set operations. Section 1 Section 2…

A:

Q: Use a tree diagram to find the number of ways 3 letters can be chosen from the set {P,Q,R} if order…

A: We have to find the number of ways 3 letters can be chosen from the set {P, Q, R}.

Q: Subset: Let X = { 10,20,20,20, 30, 40, 10 } and Y = { 20, 40 }.  Is Y the subset or proper subset of…

A: Given  X = { 10,20,20,20, 30, 40, 10 } Y = { 20, 40 }  We need to find whether Y is subset or proper…

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: 4. Find the power set of the following set: {1,2,0}

A:

Q: Let C = {1, 2, 3, 4}. How many sets are there in P(C)? Which of the following are contained in P(C).…

A: Given  C = {1,2,3,4} and here P(C) denotes the power set of C.

Q: 5. If A is a set with 5 elements, how many elements are in P(A), the power set of A.

A: The given problem is to find that how many elements are there in power set of A, P(A) Given A is the…

Q: How many unordered sets are there of five items chosen from eight? sets

A: To do this, we use the combination formula:   nCr = n! / r!(n-r)!   where n is the total number of…

Q: Consider the given set: Q = {xlx is an even number, x ≤ 10} Do the following: A. Write the set…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: O a. A - (B - C) O b. A - (C - B) Oc (A - B)- C O d. (A - C) - B O e. None of the choices is correct

A: Let us consider set A,B,C. The difference operation of two sets A,B is defined as: A-B={x: x∈A, x∉B}…

Q: 10 Different People order 3 donuts each, chosen from 5 types of donuts. At least one person chooses…

A: (a) Thee will be 10 different possibilities for number of person to pick all 3 donuts of the first…

Q: Suppose ACB and BCC. Show that = {A, B-A, C-B} is a partition of C.

A:

Q: Show Programs Two bands and one comic are performing for a student talent show. How many different…

A: two bands and one comic performing for a student talent show.  no. of different programs that can be…

Q: system of identifying call letters using call letters that begin with either O or D some have a…

A: Given Take it as case of two disjoint events. Points to be noted in the problem before solving it.…

Q: How many strings of six letters are there? Give explanation. ( Please demonstrate step-by-step)

A: There are total 26 letters. To get strings of six letters, there can be two ways: Without…

Q: REASONING 6. Consider the set of all integers from 1 to 10, i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, to…

A: GIvenS={1,2,3,..,10}A={2,4,6,8,10}B={3,6,9}A∩B={6}To find 1)n(A) and n(B)2)To determine true or…

Q: Let U = {1,4,5,6,8,12,14,16,19}. Determine the complement of the set {1,6,8}. .. The complement is…

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Q: Let ?={1,2,3,4,5,6}. How many subsets of ?A contain an even number of elements? (How would you…

A:

Q: In how many ways can you select three books to read from a shelf of eight books? (Order is…

A: We have find order matter..

Q: Mathematics Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. How many subsets of S have - the set {2, 3,…

A: S=1,2,3,4,5,6,7,8,9,10so S=10 Number subsets when subsets contains 2,3,4as a subsetNumber of subset…

Q: ØE A for every set A.

A:

Q: W. 714 5. 15 T1 76

A:

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

Q: Select all of the following that are members of this set: {a € N: a² - 1 is divisible by 4} x {b €…

A: { a ∈ℕ : a2 - 1 is divisible by 4} x { b ∈ℤ: b is prime number}

Q: Set Theory and Combinatorics How many ways are there to order the 26 letters of the alphabet so that…

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Q: a 12 set encyclopedia is to be arranged on a shelf. how many incorrect arrangement are possible?

A: Here we will use the concept of permutation Formula :- nPr = n!/(n-r)!

Q: what is the fuzzy power set ? And give examples

A: