If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; wheren is total number of distinct elements in a set, what is n(AUBUC)? * O n(A UBU C) = 10 O n(A UBU C) = 6 O n(A UBU C) = 9 n(A UBUC) = 13

Q: Let A=\ June, Janet, JillJeffrey, Jello) and B=\ Janet, Jello, Justin). Find n(A cup B)

A: The elements of the set (A U B) are the elements which either in A or in B or in both.

Q: Given that A = {2, 4, 5, 6, 8} C = {1,3,5,7,9} B= {1,2,5} = {1,2, 3, 4, 5, 6, 7, 8, 9}

A: A={2,4,5,6,8}B={1,2,5}C={1,3,5,7,9}Ω={1,2,3,4,5,6,7,8,9}

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

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: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given Twelve teachers are to be assigned to three schools

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given data Twelve teachers are to be assigned to three schools.

Q: In a particular state, all automobile license plates consist of two capital letters (from…

A:

Q: Suppose that license plates in a certain municipality come in two forms: two letters (A … Z)…

A: License plates in a certain municipality comes in two forms:two letters followed by two digits or…

Q: Consider four-letter words to be formed by using the letters: q, w, e, r, t, y, x How many different…

A: We have to find the number of possible four-letter words using the letters q,w,e,r,t,y,x.

Q: Let set A = { Bill, Sarah, Courtney, Becca }. Let set B = {English, Spanish, French, German}. Let…

A: (a)

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

A:

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: R&R Candies Inc. produces bags of assorted candies. Each bag contains either 5, 7, or 8 chocolate…

A: Given that,                   Each bag contains 5,7 or 8 chocolate candies in each bag. Bambam buys…

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: There are 40 cards in total. Every card has only one integer written on it. For each integer i = 1,…

A: The given data is as follows:20 cards are with number 0.Remaining 20 have numbers from 1 to 20

Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

A:

Q: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: A standard deck of cards has 52 cards. There are four suits: ♥, ♦, ♣, ♠. For each suit, there are…

A: Conditions:• The first group has three cards of the same denomination.• The second group has three…

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

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

A:

Q: How many ways are there of arranging the 26 letters of the alphabet so that none of the words be,…

A:

Q: so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both…

A: Consider as S and T as one letter. So now the total number of English alphabet which needed to…

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…