The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players. If the captain of the team must be part of the starting lineup, how many combinations of players are possible?

Q: How many different sets of three candies can you select?

A: A candy jar has 10 different candies in it three candies are selected from jar

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: There are 32 teams attending the World Football Cup in Qatar. How many ways the championship team,…

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Q: A basket ball team has 5 guards, 7 forwards, and 3 centers.  How many ways are there to have a…

A: A basket ball team has 5 guards, 7 forwards, and 3 centers. How many ways are there to have a lineup…

Q: A bag contains 2 red marbles, 5 blue marbles, and 6 green marbles. A handful of 4 marbles is…

A:

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A:

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: A group of 5 women and 5 men must select a three-person committee. How many committees are possible…

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Q: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

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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: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: SubWay offers 4 types of bread, 5 different meats, 8 toppings and 5 spreads. How many different…

A: Given: Types of bread = 4 Types of meats = 5 Types of toppings = 8 Types of spreads = 5 1 item is…

Q: lon.)

A: Given: Total number of players in a team are 16.            Number of positions are 9. To find:…

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 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5