There are 3 books of mathematics, 4 of science, and 5 of literature. How many different collections can be made such that each collection consists of (i) one book of each subject (ii) at least one book of each subject (iii) at least one book of literature

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

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Q: 5 blue, 2 red, and 3 green books can be arranged how many ways if books of the same color are…

A: We have given that Number of blue books = 5  Number of red books = 2 Number of green books = 3

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

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Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: Six math books, four physics books and three chemistry books are arranged on a shelf. How many…

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Q: A certain restaurant offers 5 different appetizers, 6 main dishes, and 3 desserts. How many…

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Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

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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: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: f any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to…

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Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: people. How many co

A: Let's denote the number of tents of each type as follows: x: Number of 2-person tents y: Number of…

Q: A car manufacturer offers a certain make of a car with 3 exterior colors, 5 interior colors, and 5…

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Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: How many different committees can be formed from 8 people if each committee must consist of at least…

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

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