let a, b, c, d, four consecutive positive numbers show that g.c.d (a, b, c, d)=1

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: List all the combinations of 5 objects a, b, c, d, and e taken 3 at a time. What is C(5, 3)?

A: We have to find all the combinations of 5 objects a, b, c, d and e taken 3 at a time. That is we…

Q: IFthe mcl=35 then the mc3 =?

A:

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: the number of permutations of 10 distinct objects taken six at a time is 151? a. b. True False

A:

Q: The number of ways a team of 2 players can be chosen out of 13 players is O 156 O 13 182 O 169 O 78

A: Number of ways a team of 2 players can be chosen out of 13 players can be calculated as:

Q: 3. In the given: 200, 1200, 300, 500, 550, 400, 500, 850, 1300, 2000, 340, 830, and 3000. What is…

A: 3) Mode Mode is defined as the  value that is repeatedly occurring in a given set.

Q: List all the combinations of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is C(6, 3)?

A:

Q: Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd…

A:

Q: Using the digitd 3, 4, 5, 6, 7, 8, and 9, how many 4-digit numbers can be constructed if the number…

A: Solution: From the given information, the digits are 3, 4, 5, 6, 7, 8 and 9. Here, the numbers with…

Q: 2. How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b)…

A: Number digit numbers with no repeated didgits using 4,5,6,7,8=P53=60 This is less than 520.

Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.

Q: determine

A:

Q: Suppose 15 cars start at a car race. In how many ways can the top 3 cars finish the​ race? The…

A: Permutations: The number of permutations of r items selected from n items is, Prn=n!n-r! In this…

Q: Given S = {1,2,5,8,9}, in how many 3 digit numbers can be formed if each number cannot be used more…

A: Here given ,  There are total 5 digits are available . And from given 5 digits make 3 digit number…

Q: A cat is an animal with whiskers.

A: Given statement is  "  A cat is an animal with whiskers " We have to state that this is a good…

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: In how many ways can be the 'AEE315' so that vowels always come togather?

A: The word 'AEE315' contains 6 different characters. When the vowels EE are always together, they can…

Q: Select all of the answers below that are equal to B = {John, Paul, George, Ringo, Pete, Stuart}…

A: The given is the set B = {John, Paul, George, Ringo, Pete, Stuart}

Q: You are given:

A: Formulas: pxt+qx=1t px=t+upx*px+tut qt|ux=qt+ux-qtx   Consider, the given equations,…

Q: 3. 2. Show that:

A: Our linear model is                          Yi= β0 +β1Xi+ui , i = 1(1)n   ..................(i)…

Q: 5(d) if there are at least two varieties among the dozen donuts chosen? 5(e) if there must be at…

A: (d)The objective is to find the number of ways to choose a dozen donuts from 20 varieties if there…

Q: 40. The donations from the residents of Fairway Forest toward the Virginia lung Association are…

A:

Q: True or False? There are more people with blue eyes than there are people not wearing yellow? Not…

A: From the given data: People with the blue eyes = 12 People not wearing yellows = 22

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

A:

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: From a standard deck of 52 cards, a hand of 7 is dealt. How many hands are possible that have: a.…

A: Selection or election or collection - all these imply combination. Let us suppose there are three…

Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: Find the number of ways in which a committee of ilher A or B but not both must be a member of the…

A: Combination is a tool of selecting the n items from the m choices. Always n is smaller than or equal…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

A:

Q: Suppose that A = {red,white} and B= {white,blue} Then AUB=.?

A: We know that A∪B = x : x∈A or x∈B

Q: Is the following true or false? {∅} ∈ {2,4,6}

A: Let A = { 2 , 4 , 6 }  Phi is belongs to A , is that true or false .

Q: A?,B,?sufficient

A:

Q: 5. F is the set of face cards in a deck of cards.

A: In this question we have to write the set in roster method.

Q: Suppose a soccer team has a record of 10 wins, 7 losses, and 3 ties. In how many ways can this…

A:

Q: (2n)! Let a,= then a) a, b) a, c) a, d) a,

A:

Q: Let A = { a, b }, B = {a, b, c}. Is A ⊂ B ? What is A ∪ B ?

A: Given set is

Q: The average value of 7, 8, 3, 4, 10, 14, 11, 28, and 9 is 9. O True O False

A:

Q: Assume that there are 70 students: 36 who enjoy tennis, and 13 who enjoy swimming but not tennis.…

A:

Q: Let S = {1, 2, 3, 4, 5, 6, 7} a.  How many subsets are there total? b.  How many subsets have {2, 3,…

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

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: Given :A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}

Q: 2. If P(A) = 7/13, P(B) = 9/13 and P(A∩B) = 4/13, evaluate P(A|B).

A: Given , (A) = 7/13, P(B) = 9/13 and P(A∩B) = 4/13,

Q: Assume that 30% of city employees in City A ride the bus to work. Consider the following two…

A: We have , Employees of city A =30%S When the employees of city B is 10% higher . Hence, Employees of…

Q: 2) How many numbers are there between 6000 and 7000 which have exactly one of their digits as 7?

A: Since, we have to find numbers between 6000 and 7000 so the thousand's place must be occupied by 6.…

Q: Suppose A = {2, 5, 7, 9, 13, 25, 26}. (a) Find n(A).

A:

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Three digit number is formed using digit…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.