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

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Q: You have 8 friends from your high school and 6 friends from the high school across town. How many…

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Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: We have given that, from 25 employees we have to select 1 team leader and 3 team workers. First we…

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

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Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

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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: 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: Imagine that a professor made a quiz with 20 multiple choice questions. For each question, students…

A: The total number of questions is 20 and each has 4 options. If each option has an equal chance of…

Q: There are 4 men and 5 women in a room. The leader wants a participation from a group of 2 men and 2…

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Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

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: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

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Q: In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and…

A: Given, numbers of rose plants in 1st, 2nd, 3rd row…… are 23, 21, 19,……..,5

Q: There are 24 students in the senior class. Four of the students will be chosen to be the President,…

A: There are total 24 students. We need to select one  President, Vice-President, Secretary, and…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: You are dealt one card from a 52-card deck. Find the probably that you are not dealt a four.

A: The probability of an event is given by the number of favorable cases divided by the total number of…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

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

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Q: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

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: There are 49 runners in a race, and no ties. In how many ways can the first three finishers be…

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Q: Suppose we want to choose 2 letters, without replacement, from the three letters A, B, C. How many…

A: There is a total of 3 letters A, B, and C. We want to pick 2 letters without replacement.  If the…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

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Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

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Q: You are arranging some old books into boxes. If you put 5 books in each box there are 3 remaining.…

A: Let there are n books total.   Given that If you put 5 books in each box there are 3 remaining.  So…

Q: You have 6 friends in a class and you want to choose 3 to form a study group. What is the number of…

A: The objective of this question is to find the number of combinations of 3 friends that can be chosen…

Q: All Harold's ties are red except for two. All Harold's ties are blue except for two. All Harold's…

A: All my ties are yellow except two. All my ties are blue except two. All my ties are red except two.