Suppose you have 13 juniors and 11 seniors. How many different draws of 6 names would contain exactly 3 juniors and 3 seniors?

Q: The eleven players of the CHS sepak takraw team are to be photographed for the team's tarpaulin. In…

A: Here, the question is in how many ways can 11 players can be arranged in a row.

Q: How many choices are there for a person to check out 4 CDs from a library that has 25 CDs of his…

A: Given : n = 25 x = 4

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: Find the union of the sets {1, 3, 5, 7} ∪ {2, 4, 6, 8, 10}.

A:

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

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Q: In how many ways can a boy arrange his 5 different toys in a row?

A: Given that : To find In how many ways can a boy arrange his 5 different toys in a row?

Q: One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. How many…

A: Professor chooses 5  out of 12 homework problems To find : number of groups of 5 problems can be…

Q: Find the union of the sets {0, 1, 3, 5} ∪ {2, 4, F}.

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Q: (i) Determine how many rows are in the corner section of a stadium containing 3920 seats if the…

A: the total number of seats in the stadium are 3920  the first row has 10 seats,  The second row has…

Q: How many different teams of 4 4 can be chosen from a group of 15 15 children and 17 17 adults if…

A: Given: Number of children = 15 Number of adults = 17

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

A: Given No. of colors = 4 ( i.e, Red, Blue , Green & Purple)a) Arrangement of elements in a…

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

A:

Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: How many ordered lists are there of two items chosen from twelve?

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Q: A sum of $1300 is divided amongst P,Q,R and S such that P share/Q share = Q share / R share=R…

A:

Q: If you can choose one item from a group of M items and a second item from a group of N items, then…

A: we have chose 1 item from a group of M items  and second item from a group of N items

Q: For a segment of a radio show, a disc jockey can play 5 records. If there are 9 records to select…

A:

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

A:

Q: You have 7 purple corn kernels, and 2 yellow corn kernels. (a) If you line them up in a row, how…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

Q: How many different groups of 5 problems can be chosen from the 14 problems?

A: Given that  5 problem can be chosen from the 14 problems. we use combination formula.  n= 14 , r = 5…

Q: How many hands of 5 cards from the deck of 52 are there?

A: Solution: From the given information, there are 52 cards and 5 cards are to be drawn at random.

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: How many ways are there to choose a dozen donuts from 18 varieties if there are only two varieties…

A:

Q: There are 3 women and 8 men signed up to join a salsa dance class. In how many ways can the…

A: To solve the following problem

Q: You are forming a team of 4 from a set of 7  players. The order of the players in the team does not…

A: Given that there is a total of 7 players. We will select a group of 4 players.  Since it is a group,…

Q: A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A:

Q: In row 2 there are 28 seats and in row 4 there are 44 seats. What is the number of seats in row 10?

A: The given data in the question is converted into a table

Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

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

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: A company has 14 employees, and wants to create a team of 4 employees to work on a new project. The…

A: Combination formula is given by

Q: how many ordered lists are there of three items chosen from six ?

A:

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: Suppose you are given 5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles to…

A: We have  5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles

Q: Find the number of arrangements of the digits {0,1,2,3,4,5,6,7,8,9} such that the first digit is…

A: We need to find the total number of arrangements of digits 0,1,2,3,4,5,6,7,8,9 such that the first…

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: If a student is to answer any six problems on a test consisting of nine problems, in how many…

A: Here the student is free to answer any 6 questions out of 9 problems.  So, we take the combination.

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: A business has seven locations to choose from and wishes to rank only the top three locations. How…

A: Introduction: The total number of available locations is, n = 7. The number of locations to be…

Q: If there were a 1000 runners in a race, how many of them got a z score of 3 or better for the race

A:

Q: Suppose we want to choose   3 colors, without replacement, from the   4 colors red, blue, green,…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements (order…

Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: A company has 12 male and 11 female employees. company needs to nominate 2 men and 2 women for the…

Q: If 5 cards were picked at random from a deck of 52 cards, find P(Exactly 2 are hearts)?

A:

Q: With a group pf five men and five women, how many ways can they be arranged in a row if men and…

A: Given that  Number of women = 5 Number of men = 5