A complete meal is composed of 1 cup of rice, 1 viand, 1 glass of drinks and 1 dessert. If there are 3 kinds of rice, 7 kinds of viand, 5 kinds of drink and 4 kinds of dessert, in how many ways you can order a complete meal?

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

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

Q: A restaurant offers 7 choices of main course, 8 sides, 5 appetizers, 7 beverages, and 3 desserts.…

A: Main course  = 7 Sides = 8 Appetizers = 5 Beverages =7 Desserts = 3 We have to find the total number…

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 woman has ten skirts and five blouses. Assuming that they all match, how many different…

A:

Q: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: How many ways can a class president, vice-president, and secretary be selected from each of the…

A: Given data:   The total number of members in the seventh grade is N=110. The total number of members…

Q: A sushi restaurant offers a three-course buffet lunch. Each customer must make one selection from…

A: The customer can select 1 item : from the reddish range in 5 ways. from the yellow dish range in 6…

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

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Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: There are three boys and three girls at a party. In how many ways can they be seated if they can sit…

A: Given, There are three boys and three girls at a party they can sit down three at a time

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

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Q: A one-topping pizza consists of choosing a crust, a type of cheese, and one topping. If there are 4…

A:

Q: The Senate in a certain state is comprised of 53 Republicans, 44 ​Democrats, and 33 Independents.…

A: The number of ways to select 33 Republicans is 53C33.The number of ways to select 22 Democrats is…

Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

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Q: A produce stand sells only broccoli, carrots, and okra. One day the stand served 407 people. If 114…

A: Given that the stand served 407 people, so sample space, n(S)=407 114 people purchased broccoli,…

Q: A restaurant offers a choice of 5 salads, 6 main courses, and 8 desserts. How man possible 3 course…

A: Given that the are 5 salads, 6 main courses, and 8 desserts. So we can pick salads in 5 ways.  Main…

Q: they have 24 appetizer, 25 entree, and 14 dessert options.  How many unique 3-course meals…

A: Given, We have , 24 appetizer, 25 entree, and 14 dessert options. We have to make  3-course meals…

Q: At a local restaurant, a dinner special consists of choosing a salad, an entree and a dessert. If…

A: If there are 3 choices for salad, 6 choices for the entree, and 4 choices for dessert. At a local…

Q: A breakfast menu consists of 4 choices for juice, 3 choices for toast, 3 choices for eggs, 4 choices…

A: The number of ways to select r number of objects from n number of different objects, is given by…

Q: The Senate in a certain state is comprised of 53​ Republicans, 44 Democrats, and 33 Indeependents.…

A: The number of ways to select 33 Republicans is 53C33.The number of ways to select 22 Democrats is…

Q: A restaurant offers ba dinner special that lets you choose from 10 entrees, 8 side dishes, and 13…

A: From the given information,Total number of dinner entrees = 10Total number of side dishes = 8Total…

Q: Pizza House offers 2 different salads, 5 different kinds of pizza, and 3 different desserts. How…

A: From the provided information, Pizza house offers 2 different salads, 5 different kinds of pizza and…

Q: A catering service offers 5 appetizers, 4 main courses, and 6 desserts. A customer is to select 4…

A: Given: Number of appetizers=5Number of main courses=4Number of desserts=6 It is also provided that,…

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

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…

A:

Q: A student has 4 different biology books, 4 different chemistry books, and 5 different physics books.…

A:

Q: A student has a choice of four professors for English, four professors for Mathematics, and two…

A: Total no.of English Professors = 4 Total no.of Mathematics Professors = 4 Total no.of Health…

Q: A man owns 6 pairs of pants, 7 shirts, 8 ties, and 2 jackets. How many different outfits can he wear…

A:

Q: A cafeteria offers a complete dinner that includes one serving each of appetizer, soup, entrée, and…

A: Given A cafeteria offers a serving of appetizer , soup, entrée and desert. To find the number of…

Q: A catering service offers 4 appetizers, 11 main courses, and 9 desserts. A customer is to select 2…

A: It is given that Number of appetizers = 4 Number of main courses = 11 Number of desserts = 9

Q: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: A bag contains three red marbles, three green ones, one lavender, two yellows, and three orange…

A: Solution: From the given information, a bag contains three red marbles, three green ones, one…

Q: A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the…

A:

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: A menu offers a choice of 5 salads, 15 dishes, and 3 desserts. How many different meals consisting…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: A student has to answer 8 questions, choosing at least 4 questions from each of parts A. If there…

A: Given,no.of questions in part A=6no.of questions in part B=7

Q: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A:

Q: John, Jim, Jack and Joe have formed a band consisting of 4 instruments (drums, piano, guitar,…

A:

Q: A boy owns 2 pairs of pants, 7 shirts, 4 ties, and 5 jackets. How many different outfits can he wear…

A:

Q: A restaurant offers a choice of 4 salads, 13 main courses, and 6 desserts. How many possible…

A: Permutation and Combination: The different methods in which objects from a set could well be…

Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

A:

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A: According to the question  number of combination are

Q: A school dance committee is made up of 2 freshman, 3 sophomores, 3 juniors, and 5 seniors. How many…

A: The total number of members in the committee is 2+3+3+5=13. The number of freshmen (F), sophomores…