How many six-person lineups can be formed from a 10-player volleyball roster? (Every player plays every position)

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

A:

Q: In a certain country, area codes have four digits and are subject to the following restrictions. The…

A:

Q: A bag contains five red marbles, two green ones, one lavender one, two yellows, and four orange…

A: We first find the number of sets of 5 that includes no green marbles. There are total (5+2+1+2+4)=14…

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

A:

Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…

A: This is a counting problem, and we will solve this using the concept of permutations.

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

A:

Q: A furniture manufacturer makes sofas, chairs, and ottomans. The accompanying table gives the number…

A: Given that a  furniture manufacturer makes sofas, chairs, and ottomans. The accompanying table gives…

Q: A baseball team has 13 members: 10 male and 3 female. How many ways are there for choosing a roster…

A: Given that a baseball team has 13 members: 10 males and 3 females,

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and one orange…

A:

Q: d the number of permutations of a rectang

A: Concept: Since total number of permutation of choosing "r" points out of "n" point is:

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: How many different 4 card hands can be dealt from a deck of 52 cards?

A:

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

A:

Q: Ten children are to be divided into an A team and a B team of 5 each. A team will play in one league…

A: Given Information:   The total number of children, n=10 The number of children divided into the two…

Q: Andrew a sales representative of Data Network Company (DNC) must visit 6 towns within the coast…

A:

Q: A chess tournament has 16 players. Every player plays every other player exactly once. How many…

A: Consider 16 players competing for a chess tournament with each player competing with the rest of the…

Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

Q: A new car model is available with 5 choices of color, 3 choices of transmission and 4 types of…

A: From the provided information, A new car model is available with 5 choices of color, 3 choices of…

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A:

Q: Tents hold 2,3,5,6, or 12 people. How many combinations of tents are possible to sleep 30 if all…

A: Tents hold 2,3,5,6, or 12 people.The objective is to find the number of combinations of tents…

Q: In a restaurant servers are constantly bringing out beverages to their tables. If a restaurant had a…

A: From the given information,there are three options for soft drinks Coke, Sprite, and Fanta4 people…

Q: Radio stations that are on the eastside of a nation have call letters consisting of a W followed by…

A: Here we have to number of five letter call letters starting from W

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How…

A: Combination formula : nCr = n! /(n-r)! r!

Q: people. How many co

A: Let's denote the number of tents of each type as follows: x: Number of 2-person tents y: Number of…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many​ 5-card hands can be dealt from a standard deck of 52​ cards?

A: The objective of this question is to find out the number of different 5-card hands that can be dealt…