4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10 people be seated in them?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: A pollster wants to minimize the effect the order of the questions has on a​ person's response to a…

A: The objective of this question is to find out the number of different ways the 5 questions on the…

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

A: The total number of ways in which n different items can be arranged, is given by n! where n! can be…

Q: Ms Liza has enough lollipops to give each learner in her class.she gives each learner 3lollipops and…

A:

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

Q: For this problem, assume there are 9 adjacent seats in a row. How many different ways can 9 people…

A: 9! = 9*8*7*6*5*4*3*2*1 = 362880

Q: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

A:

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

A:

Q: Suppose that we wish to seat 12 people, 6 men and 6 women, in a row of 12 chairs. In how many ways…

A: We have given thatSeat of 12 people Number of men = 6Number of women = 6

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: A professor has 180 students in her classes at the beginning of the semester, but 18 students…

A: At the beginning of the semester the professor has 180 students in her classes. But 18 students…

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Three young brother-sister pairs from different families need to take a trip in a van. These six…

A: There are 3 young brother-sister pairs i.e., the total no. of children = 6 They will occupy the…

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

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Q: we want to guarantee that each of the three children gets at least 50 dollars. How many ways could…

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Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

Q: Assume we have 23 coloured trousers and 12 coloured t-shirts. How many coloured suits (trousers +…

A: Here we have 23 colored trousers and 12 coloured t-shirts. And we have to find how many suits we can…

Q: Alex wants to choose 12 cookies to eat from a package. There are 7 different varieties of cookies to…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: AT MOST two pairs of sneakers?

A:

Q: You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side…

A:

Q: In how many ways can 6 boys and 7 girls sit in a row if the girls and boys must alternate?

A:

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.