A family with three children are to pose for a family picture in a row. la) In how ways can they be arranged if they can take any position in the picture to be taken? (b) In how many ways can they be arranged in a row if the mother and father will stay at both ends? (C) In how many wavs can they be arranged if they take two rows where the parents will stay at the front row?

Q: On Monday, Tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 mouse traps.…

A:

Q: Click here to view the standard normal distribution table (page 2) a) Construct a probability…

A: μX¯=−0.05,σx¯=0.69

Q: 1) Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 in the circles below so that the sum of the numbers…

A:

Q: 18) There is a Shaved Ice Shack on Main Street. Both Mary and Beth live on Main Street. Mary lives 5…

A: There is a Shaved Ice Shack on Main Street. Both Mary and Beth live on Main Street. Mary lives 5…

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: Givenno.of paintings=4no.of vases=5Total no.of donations=9

Q: In how many ways can the letters N, U, M, B, E, R, S be arranged in a row? in a circle?

A:

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: 1. Given that m= -3, n = 2, p = -1 Find: m (p – n)2 _____3p + m Select one: a. 4½ b. 27/8 c.…

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Q: Take 5 coins a 1p 2p 5p 10p 20p put them in a row using these clues the total of the first 3 coins…

A: Given data: The total numbers of coins are n=5. The total value of the first three-coins is 27p.…

Q: Question 9.7) There are 3 Grey Shirts,5 Orange Shirts and 4 Blue Shirts in a suitcase.Gary selects 4…

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Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: 1. A brick layer is currently building a wall. The 6th layer of the wall has 280 bricks and the 15th…

A:

Q: A artist donates 4 different paintings anf 5 different vases in a museume The donations will be…

A: The solution to the question is attached in the images below.

Q: 8) Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

A: Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

Q: 34. In a family, each boy has as many sisters as brothers, but each sister has only half as many…

A: Given in a family, each boy had as many sisters as brothers, but each sister has only half as many…

Q: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: T1.3 An ice hockey team has 6 forwards, 8 defencemen,  and 2 goaltenders. a) In how many ways can…

A: Given that, An ice hockey team has 6 forwards, 8 defencemen,  and 2 goaltenders. Calculation Part:…

Q: Out of 10 families, six families have dogs, four have cats and two have neither cats nor dogs. Find…

A: The number of elements in the set can be calculated using the set formula. The union of the sets can…

Q: On Monday, tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 traps. On…

A: Let 'x' be the number of traps Tom does 'y' be the number of traps Sylvester does 'z' be the number…

Q: 4.) How many ways are there to seat 6 people in a row?

A: given data  we have to find number of ways to arrange 6 peoples in a row.

Q: 34) On a TV game show, a contestant is shown 10 products from a grocery store and is asked to choose…

A: No.of products from a grocery store, n = 10 No.of items are chosen in the set, r = 3 consider that…

Q: Hi! I need a solution for this question: There are 4 yellow balls, 3 green balls, 3 red balls, and…

A: 4 yellow balls 3 green balls 3 red balls 2 blue balls __________________ 12 total balls   no. of…

Q: Jose and Mark are making cookies for a bake sale. Their recipe calls for 2 cups of flour for each…

A: Given that, Jose and Mark are making cookies for a bake sale. Their recipe calls for 214 cups of…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: It is given that, there are 4 paintings and 5 vases.

Q: A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3…

A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…

Q: 1. In how many ways can 3 boys and 4 girls sit in a row if a. they are to sit alternately? b, the…

A: According to Bartleby guildlines we have to solve first question and rest can be reposted…

Q: 6. Given the following statistics, what is the probability that a woman has cancer if she has a…

A:

Q: It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many…

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Q: How many seating arrangements can be formed by seating Alyssa, Bea, Kat, Dy, Isabel in a row:

A: Seating arrangement questions are the most common problem types in all entrance exams containing the…

Q: 7) A bag contains 10 marbles: 6 red, 3 blue, and 1 green. One marble is selected at random. 7). Find…

A: Explanation of the answer is as follows

Q: Q4. A group of students: Saif, Al Mohanned, Abdullah, Rihab, Shahad, Manar, Thuwaiba, Lamees, and…

A: Permutations and Combinations are used to arrange different persons on different chairs Total chairs…

Q: 5. Find the number of ways in which 3 boys and 3 girls can be arranged in a row under the following…

A:

Q: 3.) The sum of the ages of Roy, Boyet and Bong is 12. Boyet is 3 years younger than Roy and Roy is 6…

A:

Q: 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.