Cameron has five different pairs of shoes that match with six different pairs of socks. How many shoes-and-socks combinations can he make if he select one pair of shoes and one pair of sockS!

Q: In a football league, each team plays each of the other teams twice during the season, once at home…

A: Here we will going to use basic concept of Combination.

Q: Don has nine pairs of shoes, six pairs of pants, and seven shirts. If all items are compatible, how…

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Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

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Q: .A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Solution

Q: There are five roads from Wilton to Norwalk and four roads from Norwalk to Darien. If Kristina…

A: here given, There are five roads from Wilton to Norwalk and four roads from Norwalk to Darien.…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: Juan has 4 ties, 4 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

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Q: Two boxes, A and B, contain 2 balls and 6 white, and B contains 2 red and white. If one of the boxes…

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Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: The given question requires number of pairs between two teams. Note that if team A and team B are…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

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Q: A restaurant has 20 items on their menu.  If you choose four different things to eat where the order…

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Q: Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A: We have given that  Juan has 4 ties, 7 shirts and 6 pairs of pants.

Q: An organization had 14 employees. There are 9 female employees and 5 male employees. How many teams…

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Q: A boy owns 5 pairs of pants, 5 shirts, 5 ties, and 7 jackets. How many different outfits can he wear…

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Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: A boy owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets. How many different outfits can he wear…

A: Given a boys owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets Boys can wear one of each items…

Q: An executive as 8 skirts, 8 jackets, and 10 blouses that all coordinate. If an outfit consists of…

A: Given, Number of skirts=8 Number of jackets=8 Number of blouses=10 An outfit consists of 1 skirt, 1…

Q: Ernie had 9 more top -10 finishes than Phil. Vijay had 13 more top-10 finishes than Phil.

A: We denote top-10 finishes of players Vi, Er, and Ph by x, y, and z respectively. Now we have…

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: A boy owns 5 pairs of pants, 3 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: There are 5 pairs of pants 3 shirts 2 ties 2 jackets The boy must wear one of each item.

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: How many children are there in a family wherein each girl has as many brothers as sisters, but each…

A: Let assume Number of sister = x Number of brother = y

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 team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

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Q: In the game of football, a team can score either a touchdown for six points or field goal for three…

A: The objective is to look for scores which cannot be achieved if the team scored under 30 points. It…

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: Juan has 5 ties, 4 shirts, and 3 pairs of pants. How many different outfits can he wear if he…

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Q: There are seven boys to every three girls in an introductory biology course. If there are 370…

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Q: From a group of 8 junior employees and 4 senior employees, how many different teams of four can be…

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Q: If a guy has 4 apples and he gives away the 3 how many apples will he have ?

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Q: In a running competition, a bronze, silver and gold medal must be given to the top three girls and…

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Q: The department has 5 faculty members and 15 students. How many ways can you form a committee of 7…

A: It is given that the department has 5 faculty members and 15 students. A committee has to be formed…

Q: A basketball team contains 20 players. If 5 people can be on the court at one time, how many…

A: Total number of players is 20. The number of player to be court at one time is 5.

Q: How many breakfast meals consisting of a fruit, a sandwich, and a drink are possible if one can…

A:

Q: The number of ways in which 2 cards can be chosen or selected from a total of 6 cards equals:

A: We are asked to find the number of ways of selecting 2 cards from 6 cards

Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

Q: A boy owns 7 pairs of pants, 1 shirts, 4 ties, and 7 jackets. How many different outfits can he wear…

A:

Q: In a buffet, there are 4 choices of appetizers, 5 choices for the main dish, and 3 choices for the…

A: The answer is attached below,

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: If Jun has 12 T-shirts, 6 pairs of pants, and 4 pairs of shoes, how many possibilities can he dress…

A: Jun has 12 T - shirts , 6 pairs of pants and 4 pairs of shoes. We know that combination corresponds…

Q: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

Q: During a summer camp, all the children have to be separated into 8 different groups. If there were…

A: During a summer camp, all the children have to be separated into 8 different groups. If there were…