6. Twenty mathematics textbooks must be stacked in a row on a shelf. There are 5 identical calculus textbooks, 4 identical statistics textbooks, and 2 identical algebra textbooks. a) In how many ways can the textbooks be arranged on the shelf? [. b) In how many ways can you select at least one book? [*

Q: 1. Calculate the following: (a) P(8, 3) (b) C(7, 3) 2. You have 10 books in the shelf, 4 are…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: 2./How many 9 letter words (not necessarily meaningful) can you make from the word CHEMISTRY if a./…

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

Q: 4. The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is…

A: Let the number of 4 -passenger car is x. and, the number of 6 -passenger car is y. then as the given…

Q: 4. Find the number of ways 6 large books, 5 medium-size books, and 3small books can be placed on a…

A:

Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

Q: may a. In how many ways may the scholarships be awarded such that 2 men and 2 women are selected. b.…

A: Here given , there are 4 different prizes  And here there are 5 men and 4 women in group of scholar…

Q: 2./How many 9 letter words (not necessarily meaningful) can you make from the word CHEMISTRY if a./…

A: If there are n vacant inline spots and each spot can be filled by any of the m number of objects…

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: In how many ways can we seat 6 boys and 3 girls on a row of seats so that no two girls sit next to…

A: If no two girls can sit together, then we need to alternate boy and girl. We can start with a boy…

Q: dont understand the question.

A:

Q: You need to arrange four of your favorite books along a small shelf. How many different ways can you…

A: Given that Number of favourite books have to arrange in a small shelf=4 To find Total number of…

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: An employment agency has 6 temporary workers. (a) In how many ways could 4 of them be assigned to…

A: (a) It is required to find the number of ways in which the workers can be assigned to the research…

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any…

A: Explanation of the answer is as follows

Q: A pizza parlor offers 14 toppings. a. How many 4-topping pizzas could they put on their menu? Assume…

A: