Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In how many ways the 4 games can be selectēd?

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

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Q: How many ways can 6 boys stand in a line if a certain boy must come first?

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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: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

Q: Suppose we want to choose 5 letters, without replacement, from 8 distinct letters. (a) If the order…

A: ncr=n!r!n-r! and we will use combination

Q: It's all about COMBINATION. - A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how…

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Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

Q: You are randomly selecting your friends to go with you to dinner. You can bring 3 friends, but you…

A: In this question it has been asked to find out the probability of choosing 7 friends who will not be…

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

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: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: how many different ways can a coach choose three players from 8 bench players to replace 3 of the 5…

A: He can select 3 of the 5 starting players in 5C3=10 ways. He can select 3 of the 8 bench players in…

Q: If there was a Connect 4 tournament where one person played 5 games, two people played 4 games, and…

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Q: Tony wants to buy a new collar for each of his 4 dogs. The collars come in a choice of 9 different…

A: As per questionTony has 4 dogs9 different colour collarsIf repetition are allowedTony can buy any…

Q: The Math Club consists of 15 members. Four of them will represent the school in a math competition…

A: Given that: No of members in math club = 15 No of selected member in competition = 4

Q: A baseball team is having a walk-on tryout camp for players. Thirty-four players show up at camp,…

A: Number of players (n) = 34 Coaches choosing only (r) = 3 By using combination formula

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: Suppose that Kim is the philanthropy chair of her sorority, and she wants to choose a committee of…

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Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Determine the different selections of 10 balls that can be made. The different selections of 10…

Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

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Q: In how many ways can a group of 6 students be selected from 7 students?

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Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

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

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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: A committee of 8 people randomly chooses 3 people in order to be president, vice president, and…

A: Total person = 8 to chosen = 3 Order = considered

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 4?

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Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

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Q: (b) From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: a group of 52 store customers. 3 persons are to be selected, need to find total way exactly 3 store…

Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

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

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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: A girl is allowed to pick 5 out of 18 children’s books to take home from the library. In how many…

A: Solution: 1. From the given information, a group of 5 books are to be chosen from 18 children’s…

Q: There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you…

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Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: How many 7-card hands that can be dealt off a 52-card deck in which two of the cards are diamonds…

A: The 7 card hands are dealt off a 52 card deck. These 7 cards consist of two diamond cards and 5…

Q: How many ways can Rudy choose 4 pizza toppings from a menu of 13 toppings if each topping can only…

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Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 5?

A: Given information- We have given that a class contains 8 boys and 4 girls. The teacher has to make a…

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: 2) The Math Club consists of 15 members. Four of them will represent the school in a math…

A: Given Total number of members of Math Club is = 15

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

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

Q: 3. In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black, 2…

A: Answer: In 180 ways 2 black , 2 white, and 2 red pens can be chosen.

Q: In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10…

A: We need to select 7 red cards out of 10 i.e. C(10,7)We need to select 4 black cards out of 9 i.e.…

Q: How many two pairs (two cards with the same face, two more cards with the same face, and another…

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Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

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Q: A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club…

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Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.