In how many ways can 3 novels, 2 math books and 1 chemistry book be arranged on a bookshelf if: a) All the books can be arranged in any way? b) The Mathematics books must be together and the novels must be together? c) The novels must be together?

Q: If n(A) = 66, n(B) = 21, and n(A ∩ B) = 9, find n(A ∪ B)

A: n(A)=66n(B)=21n(A∩B)=9n(A∪B)=n(A)+n(B)-n(A∩B)

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given Twelve teachers are to be assigned to three schools

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given data Twelve teachers are to be assigned to three schools.

Q: Suppose we want to choose 3 objects, without replacement, from the 4objects pencil, eraser, desk,…

A: We have given that we want to choose 3 objects, without replacement, from the 4objects pencil,…

Q: n how many different ways can you seat 11 men and 8 women in a row? b) In how many different ways…

A: We know that, combination is an arrangement of items in which order does not matter. A permutation…

Q: 3. Sophia has a bowl of 15 red, 15 blue, and 15 orange pieces of candy. Without looking, Sophia…

A: (a) Sophia has to grab (3+3+3)+1 = 10 candies to make sure she has at least 4 of the same colour.…

Q: 4. There are 256 children in the juniors. a) Half have sandwiches, how many have school dinners? b)…

A:

Q: You are a member of the BCC Math Club. The club has 15 members. a) How many different ways are there…

A: a)given,           club has 15 members here n=15(total numbers)           we need to select the…

Q: You have 6 different Algebra books, 5 different Biology books, 4 different Chemistry books, and 3…

A: As per given by the question, there are 6 different Algebra books, 5 different Biology books, 4…

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: 17. The science club members are to work in pairs on an experiment. a) If there are eight members…

A:

Q: 1) Find the number of permutations of all the letters of the w following conditions

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: a) How many different trains can be built with a length of 10 units?

A: (a) Number of trains built with a length of 10 units is

Q: In how many ways can the letters of the word "KATHI" be arranged? Show work. A committee of 3 is to…

A: d) The word is given as “KATHI”.

Q: n a stock room of a car dealership, there are 4 red, 2 white, and 3 blue flags. There are three flag…

A: Given that there are a total of 9 flags with 4 red, 2 white, and 3 blue flags

Q: a) How many different possible license numbers are possible? b) What is the number of possible…

A: It is an important part of statistics. It is widely used.

Q: Show all work please!

A: The total number of ways to draw 7 balls from 50 is given by the combination formula…

Q: If n(A) = 45, n(B) = 17, and n(A ∩ B) = 2, find n(A ∪ B)

A: Thanks for the question :)And your upvote will be really appreciable ;)