How many 4-element subsets containing the letter A can be formed from the set {A, B, C, D, E, F, G}? Answer:

Q: How many total ways can we form a 2-letter password or a 4-letter password using the letters from…

A: The set is  a,b,c,d. That is, there are 4 letters. Since repetition of letters is allowed, each…

Q: how many ways can you choose 3 pieces from the 4 kings and queens (black kinh, white king, black…

A: From the given condition we need to choose 3 pieces from the 4 kings and queens to place on 3…

Q: 24 Consider a set {1, 2, 3, ..., 19, 20}. How many subsets of 6 elements a) contain four even and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: Find the number of subsets that can be formed from a set containing 10 elements.

A:

Q: Find the number of subsets of the given set. {6, 5, 8}

A: We know that, If n(A)=n then possible number of subset are 2nHere A={5,6,8}Therefore n(A)=3possible…

Q: 1. How many 10-element multisets can be made from the symbols {1,2,3,4}?

A: Given Elements {1,2,3,4}

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: the difference between sets, subsets and proper subsets.

A: Set: A set is a group of collections of numbers or objects considered as an object in its own right.…

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: Use set notation to list all the elements of the set. The natural numbers less than 36 that are…

A: Natural number are  {1,2,3,4,5.......}

Q: 10:32 Let A 3 4 5 6 93 R=12 3 7 8 9 10 X

A:

Q: Determine if each is a permutation or a combination and then evaluate. How many four-letter words…

A: From the provided information, The four-letter words will be formed from the first letters of the…

Q: how many ways to choose 4 out of 10 candidates for the distict jobs

A:

Q: how many possible combinations are there for computer password that must contain six letters a…

A: Each of the places can take any letters from A to Z , as no repeat condition is given. Therefore,…

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: 8. Consider the set B = {1,2, {3,4}}. (a) Is {3, 4} a subset of B? Why or why not? (b) List all of…

A:

Q: Six men and seven women enter a classroom. There are chairs numbered one through thirteen along the…

A: Given that, Six men and seven women enter a classroom. There are chairs numbered one through…

Q: Use the following sets: A={Factors of 50} B={odd numbers} Which elements are found in A∩B?

A: A={Factors of 50} = { 1,2,5,10,25,50}  B={odd numbers} ={1,3,5,7,9,11,......}

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: 4. How many 6-digit numbers (using 1,2,3, ... ,9) are there if repetition is not allowed? How many…

A: As in the text, two Que 4 and 6 are asked t solve. We shall answer one Que only eg 4• it has also…

Q: How many subsets are there of the set N = {6, 49}?

A: