Arrange 11 sticks such that the eleven sticks will become 9 without removing a stick from the given set.

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: Consider 2 classes, the first with 5 students, and the second with 7 students. From this group of…

A: Given data 2 classes First with 5 students and second with 7 students 2 students need to be selected

Q: If a given set has 15 elements how many of its subset have at most two elements

A: Given, No of elements=15  how many of its subset have at most two elements

Q: If there are 350 four-block partitions of n that contain the set {n}, how many three-block…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without…

A: 4 objects are 1,2,3,4 If we have to choose 3 out of 4 (without repetition) Then, First object can be…

Q: how many ways are there to pick the set of people who are interviewed

A: We have given that  Total number of applicants = 50 After reduced the number of candidates than the…

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: Find the intersection of the sets {7, 8, 9, 10, 11} ∩ {6, 8, 10, 12}.

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Q: 20

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Q: Out of a list of 20 colleges, how many ways to schedule the visit of 10 of them (one for each month…

A: Given Information: Total number of colleges = 20 Number of college should visit =10 Number of…

Q: If there were only 3 types of music in the world: pop, rock and rap. Let set A equals all the people…

A:

Q: Is answer all How many elements are contained in the set (1,5)\{1}?

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: How may elements are in the set [-2, 2] \N?

A:

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

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

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Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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

A:

Q: combination lock will open when you select the right choice of three numbers (from 1 to 30,…

A:

Q: Find two different sets of coins that each make 120% of a dollar, where no type of coin is in both…

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: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can…

A: Let us assume that: Pi=The point assigned to the ith question.   Given that:  Each question must…

Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find the number of different signals that can be made by arranging at least three flags out of 6

Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: A strap is made up of 20 beads (4 yellow, 6 time, 3 red and 7 green. Calculate for all possible…

A: Given that there are 4 yellow beads  6 time beads 3 red beads  7 green beads We have to make a strap…

Q: Specify the sets by roster. (a) {Even counting numbers less than 18}       (b) {Positive…

A: Listing the elements of a set in the braces {} is called the roster form.

Q: four largest 4-combinations o

A: Given: The set {1, 2, 3, 4, 5, 6, 7, 8} after {1, 2, 3, 5}. To find: The next four largest…

Q: An overnight express company must include thirteen cities on its route. How many different routes…

A:

Q: Four different colored flags can be hung in a row to make a coded signal. How many signals can be…

A: Number of signals on display of 1 flag=4  Number of signals on display of 2 flags =4×3=12 Number of…

Q: How many subsets of a set with 64 elements have more than two elements

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Q: Write the numbers 0, 2, 4, 6, 8, . . . in set builder notation.

A: The set builder form of a set A is a form in which we describe the property of each element of the…

Q: How many ways are there to select three unordered elements from a set with five elements when…

A:

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

A:

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

A: Given n=5

Q: 3. Find the number of subsets for set containing 3 elements.

A: Given set  containing 3 element

Q: How many ways are there to select three unordered elements from a set with five elements when…

A:

Q: {xlx is a whole number less than 6} if U is the set of all whole numbers

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Q: Consider the following set. {-5, -4, -3,0.1. V2,2, 2.5, 4, 아 0, 1, V2, 2, 2.5, 4,

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Q: Find the number of different partitions of a set having 5 elements and  find the number of different…

A: We have to use Bell number. Let S(n, k) be total number of partitions of n elements into k sets. The…

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

A: According to the given information in this question We need to find the value of C(8,4)

Q: Suppose Set A contains 90 elements and Set B contains 88 elements. If Sets A and B have 20 elements…

A: Given that Set A contains 90 elements and Set B contains 88 elements.  Also given that Set A and Set…

Q: Suppose Set A contains 31 elements and the total number elements in either Set A or Set B is 113. If…

A: Given, Two sets, Set A and Set B which contains the no. of elements.

Q: When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between…

A:

Q: How many subsets of a set with 50 elements have more than one element?

A: Introduction:  Here we need to find how number of subsets have more than 1 element. Given:…

Q: what are infinite subsets?

A: First understand, what is an infinite set?

Q: Find the number of subsets of the set. {10,11, 12}

A: Given: To calculate the number of subsets of the set values {10, 11, 12}