What is the relationship between gcd(Greatest Common Divisor) and lcm(Least Common Multiple) of 2 numbers m and n.

Q: Anna has carved 5 jack-o-lanterns, each with a different face. How many ways can four of the…

A: We are solving it by counting method Given: We have 5 jack-o-lanterns, each with a different face…

Q: 2_The number of ways to distribute 7 games to three children so that the youngest child gets three…

A: Given that  Number of games =7 Distribute it in 3 children so that the youngest child get three…

Q: Is 302 a term of the A.P. 3, 8, 13,...?

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Q: ys can a postman p

A: To find many ways can a postman post 3 letters in 5 letter boxes.

Q: A speech class teacher is going to rank nine different speeches.  In how many different ways could…

A:

Q: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: Aruni wins 30% of the games he plays on Among Us. If he plays 40 games how many should he win?

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

Q: Mary says that her factor tree for 210 begins with 7 and 30 so her prime factors will be different…

A: Solution:-

Q: Does the problem, 'A medical researcher needs 6 people to test the effectiveness of an experimental…

A: A medical researcher needs 6 people to test the effectiveness of an experimental drug and 13 people…

Q: A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work…

A: Given data,Number of multiple-choice questions=9Number of open ended problems =6In how many ways an…

Q: Show how to use the definition of LCM to deter- mine the least common multiple of 44 and 55.

A: Given, Using definition of LCM find LCM of 44 and 55

Q: What is the number of positive integers not larger than 210 and not divisible by 2, 3 or 7?…

A: Within 210, the number of integers that are divisible by 2= 210/2= 105  Within 210, the number of…

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

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Q: To win at Lotto in a certain state, one must correctly select 6 numbers from a collection of 48…

A: We have to select a group of 6 numbers from 48 numbers.

Q: Suppose you have 13 juniors and 11 seniors. How many different draws of 10 names would contain…

A:

Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

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Q: How many multiples of 6 are in the set {171, 172, 173, ..., 286}?

A: Given set is 171,172,173,174,.......,286. We have to find the number of multiple of 6 in the given…

Q: avi got 18 out of 20 and Karla got 85% on the same test which one is greate

A: To determine which of the following is greater. Ravi got 18 out of 20 Karla got 85%

Q: to win at lotto in one state, one must correctly select 6 numbers from a collection of 63 numbers?

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Q: The number of distinguishable arrangements of all the letters of the word SUCCESS is ) 420 5 028 5…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: The prime factorization of 12 with cubes AND the prime factorization of 12 with a factor tree?…

A:

Q: and colorful, tall and colorless, short and colorful, 3/16, 3/16, and 1/16. In a multinomial…

A: We are given: P(Tall and colorful)=p1=9/16P(Tall and colorless)=p2=3/16P(Short and…

Q: To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 59 numbers (1…

A: From the provided information, Total numbers are from 1 to 59. To win at Lotto in one state one need…

Q: Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Topic- permutations and combinations

Q: What is 2% of 76

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Q: There are total ways to select a first-prize winner, a second-prize winner, and a third-prize winner…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: A company that makes crayons is trying to decide which  5  colors to include in a promotional…

A:

Q: Find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi…

A: Here there are 9 different computer games that can be shared between Wainah (W), Jingyi (J) and Hebe…

Q: Explain why there are 4 times as many permutations of the word CARPET as compared to the word CAREER

A: Permissions

Q: In one of the Florida lotter games, one has to match six numbers out of 49 numbers to win. How many…

A: In order to win the lottery, 6 out of the 49 numbers has to match. So if we calculate the total…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given data: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue,…

Q: To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 45 numbers​…

A: Given, Total collection of numbers = 45 numbers​ and, The order in which the selection is made does…

Q: Angelee has to answer any six problems on a test consisting of ten problems. In how many different…

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Q: If the average of 5 integers is 300, if the average of the first 2 integers is 100, and the the…

A: given: the average of 5 integers is 300. the average of the first 2 integers is 100. the average of…

Q: Is it possible for two numbers to have the same least common multiple and greatest common devisor?

A: To check whether for two numbers can have the same LCM and HCF.

Q: Determine if 3 is in Nul A, where 3 -5 -3 6 -2 -8 4

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Q: Which notation expresses the number of permutations of 9 items taken 6 at a​ time

A: Number of permutations of n items taken r at a time is given by Pn, r=Prn=n!n-r!

Q: Find the number of different ways that an instructor can choose 4 students from a class of 16…

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Q: Without looking, Taj picked a marble from the bag. Which color is Taj most likely to pick? A black,…

A:

Q: To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 46 numbers (1…

A: topic - permutation and combinations

Q: What is 20% of the least common multiple of 30, 24 and 45?

A:

Q: how does the prime factorization of 12 with cubes relate to the prime factorization of 12 with a…

A: In making a factor tree, the first step is to find a pair of factors whose product is the number…

Q: How many multiples of 4 lie between 100 and 500?

A: Solution

Q: How many zeroes are at the end of 25! (= 25 factorial)?

A: The given number is 25!.  Now, we need to find the number of zeros at the end of 25!.

Q: Explain why the number of combinations of n items taken rat a time can be computed by - r!

A: nPr represents the number of ways in which we can arrange r terms from n terms. Here order matters.…

Q: If you select one card at random from a standard deck of 52 cards what is the possibility that the…

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Q: Divide 32 into four parts which are in A. P. Such that the product of extremes is to the product of…

A:

Q: To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 49 numbers​…

A: