box contains 114 marbles which are either red or blue. There are 30 more red marbles than blue marbles. How many red marbles are there in the box?

Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a…

A:

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

A:

Q: In a class there are 30 female students and 20 male students. A committee of four students need to…

A: There are 30 female and 20 male students.

Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: McBurgerQueen fast food company had 2350 burger stores in 2012.  Due to bad service and lousy…

A:

Q: A dog shelter is giving away 16 different dogs, but you have room for only 4 of them.  How many…

A: Given, Number of different dogs given by shelter =16 There is exactly 1 room that can accommodates…

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: There are 4 different types of fruits and n different types of vegetables in a grocery shop. If…

A:

Q: How many 4 card hands are possible with a 48-card deck? The number of 4 card hands is

A: Possible number or 4 card hands with a 48-card deck is

Q: In ms. Persons class, 75% of the students are boys. There are 18 boys in the class. What is the…

A: Given 75% are boys.

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: Of the 60 members of a choir, 30% sing alto and 45% sing soprano. How many members of the choir sing…

A:

Q: There were 30 dogs in a dog show, and 50% of these were Siberian huskies. 20% of the Siberian…

A:

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: Every white car in the Ela Motors car yard was a Toyota Twin Cab. Half of all the red cars were…

A: Please see the below picture for detailed solution.

Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

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

A:

Q: A casting director wishes to find one male and one female to cast in his plate if he plans to…

A: Given Male=9 Female=14

Q: In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only…

A:

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: Pizza House offers 3 different salads, 7 different kinds of pizza, and 5 different desserts. How…

A: We have given that a Pizza house offers 3 different salads, 7 different kinds of pizza and 5…

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: License plates in a particular state display 3 letters followed by 3 numbers. How many different…

A: Given license plates in a particular state display 3 letters followed by 3 numbers.

Q: A boy owns 6 pairs of pants, 3 shirts, 5 ties, and 2 jackets. How many different outfits can the boy…

A: The boy owns 12 pants, 3 shirts, 5 ties and 2 jackets. Now each outfit must consist of one of each…

Q: Pizza House offers 2 different salads, 2 different kinds of pizza, and 5 different desserts. How…

A: A 3-course meal has to have 1 salad, 1 pizza and 1 dessert. We have 2 choices for salad We have 2…

Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different out he must wear…

A: From the provided information, A boy owns 3 pair of pants, 1 shirt, 7 ties and 5 jackets.

Q: A restaurant offers a choice of 4 salads, 8 main courses, and 4 desserts. How many possible 3-course…

A: Given that,   Restaurant offers 4 salads 8 main courses 4 deserts How many possible 3-course meals…

Q: There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing,…

A: *to find:- number of ways to choose  L, C & R.

Q: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: how many ways can you select 2 different flavours of ice-cream for a sundae if there are 16 flavours…

A:

Q: of the 100 people in the us senate 18 serve on the foreign relations committee how many ways are the

A:

Q: A bag contains 25 gumballs in total.  There are 6 blue gumballs, 7 green gumballs, 4 red gumballs, 3…

A: Solution: Given information: Total gumballs = 6 blue gumballs +  7 green gumballs + 4 red gumballs +…

Q: How many different hamburgers are available at Heinz's Burger?

A: here use counting Principle

Q: A track coach needs to select 2 students from each grade level to cre- ate a board of…

A:

Q: A box contains 206 marbles which are either red or blue. There are 36 more blue marbles than red…

A: Total marbles = 206 There are 36 more blue marbal then red

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: 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: A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible…

A: We have find the probability of given problem.

Q: There are 4 seats in a cinema hall. In how many ways can 4 people sit in a cinema if only 2 of them…

A: 6 ways

Q: student club consists of 10 freshmen and 7 sophomores. How many different six-person committees can…

A:

Q: A different class has 275 ​students, and 56.4​% of them are men. How many men are in the​ class?

A: The total number of students in a class is 275 out of which 56.4 % are men.

Q: Pizza House offers 4 different salads, 5 different kinds of pizza, and 4 different desserts. How…

A: Here pizza house offers 4 different salads, 5 different kinds of pizza, and 4 different desserts.

Q: At a buffet restaurant, 70 customers select tacos, 115 customers select pizzas, and 16 customers…

A:

Q: In a theater, there are 22 seats in the first row and 3 more seats in each following row. How many…

A:

Q: BURGER BARN ALLOWS STUDENTS TO CREATE UNIQUE BURGERS BY SELECTING FROM 4 TYPES OF BUNS, 3 TYPES OF…

A:

Q: There are 6 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A candy manufacturer makes 7 kinds of brown chocolate candies and 3 kinds of white chocolate…

A:

Q: a little league manager has 12 children on her team. How many ways can she form a 9- player batting…

A: Given that  Total player=12 Batting order player=9 Find the number of ways can she form a 9 player…

Q: Bakugo have 7 kinds of fruits which he can choose only 2 to bring with him to school for his snacks.…

A: We will use permutation to answer the above question. Number of ways choosing r out of n when order…

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.