A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from each class to be on a school board, how many different board can be selected?

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: A basketball team contains 21 players. If 5 people can be on the court at one time, how many…

A: Given that Number of players (n)=21  Number of people on the court at one time  r=5  We have to find…

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

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

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

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Q: There are 14 male employees and 9 female employees at a shoe store.  The store manager wants to form…

A: Since he is picking as a team so we will use the combination method because arrangement does not…

Q: On the final day of their class trip to Washington D.C. , Mr. Parke let’s his students choose what…

A: A fraction is a number in the form xy (where x and y are both integers and y ≠ 0). In the above…

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

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

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Q: A team of 22 soccer players needs to choose 3 players to fill water bottles. How many different…

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Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

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: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

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Q: Find the number of different ways that an instructor can choose 4 students from a class of 16…

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Q: As a manager in a company, your department was assigned 3 projects to work on. In your department,…

A: given data  3 projects to work on  you have 9 engineers  you want to create 3 groups of 3 engineers…

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…