In a college football training session, the defensive coordinator needs to have 10 players standing in a row. Among these 10 players, there are 1 freshmen, 2 sophomore, 4 juniors and 3 seniors, respectively. How many different ways can they be arranged in a row if only their class level will be distinguished?

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: The Goal Line Gals has 35 members and the Baseball Babes has 28 members. At a joint meeting all…

A: Let's denote the set of members in the Goal Line Gals as G and the set of members in the Baseball…

Q: he table shows different ways that Cam'ron can display his 12 model cars on shelves how many shelves…

A: Given that: 12 model cars.   8 shelves display 1 car.

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

A:

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 Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: Tyler has a large bag of mixed jelly beans that he is eating one at a time from. If the bag has 11…

A: nPr = n!/(n-r)!  Means number of ways in which r different things can be arranged  out of n…

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

Q: DJ Jacqueline is making a playlist for a website; she is trying to decide what 10 songs to play and…

A: Consider the provided question, DJ Jacqueline is decide to play 10 songs. her choices narrowed down…

Q: Deandre is arranging 11 cans of food in a row on a shelf. He has 7 cans of carrots, 3 cans of beans,…

A:

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: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

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: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

A:

Q: soccer team is playing a game in a stadium. The team fills a total of 592 seats on one side of the…

A: Given query is to find the number of rows used.

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…