Suppose we want to choose 6 objects, without replacement, from 12 distinct objects. (If necessary, consult a list of formulas.) (a) If the order of the choices matters, how many ways can this be done? (b) If the order of the choices does not matter, how many ways can this be done?

Q: In each of the parts below, the coins available are half-dollars, quarters, dimes, nickels, and…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…

A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.

Q: A restaurant offers 3 different entrees, 6 different vegetables, and 3 different desserts. (a) If…

A:

Q: The problem is to seat 5 people, Abe, Betty, Coe, Dave, and Edo at a round table. Compute, in…

A: There are  people: Abe, Betty, Coe, Dave, and Edo.They sit around a round table.The no. of different…

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: A president and a treasurer are to be chosen from a student club consisting of 25 people. How many…

A: Choices of officers are possible if i ) there are no restrictions, P225 = 25!2! P225 = 600 ii) here…

Q: 3. Wayne has a pile of 20 books to read. (a) In how many orderings can he read them? (b) In how many…

A: Finding the solution of all three subparts

Q: Adam, Eunice and Lara get into a bus, one after the other. One way in which they get into the bus is…

A:

Q: : A and B each have certain number of oranges.A say to B, "If you give me 10 of your oranges.I will…

A:

Q: You are planning a vacation to Patagonia. You have a choice of 4 hotels at which to stay, and a…

A: Given In Patagonia, there are 4 hotels, 3 different car rental companies and Patagonia provide 5…

Q: Which situation has a greater number of possibilities, one in which order matters or one in which…

A: When the order in which the elements are arranged matters, then Permutation is used. When the…

Q: A restaurant wants to prepare meals for 4 customers. In the restaurant there are only 2 kinds of…

A:

Q: 20 professors are having a tea party, 6 physicists and 14 mathematicians. To prepare, they need to…

A: From given data we have : 20 professors are having a tea party, 6 physicists and 14 mathematicians.

Q: (4) What formula did you use for question three, and why? (5) You know that Person A, Person B,…

A: (4) To state and explain: The formula used for question three. (5) It is known that Person A, Person…

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: THree-way combinations are things like this : If [A is true and B is true ] OR [if B is true and C…

A: Given Statements:If A is true and B is true                  ORIf B is true and B is falseWe need to…

Q: Use the five sentences below to answer the question. Mark had told him about the foxes. John looked…

A: In this question we have to how many different five sentence paragraphs can be formed if the…

Q: For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side…

A: Solution Given That, For the dinner special at a restaurant, the customer must choose an appetizer,…

Q: Greg needs to get five tasks done this Saturday before lunch. • Go grocery shopping Mow the lawn…

A: Greg needs to get five tasks done this Saturday before lunch.1) go grocery shopping,2) mow the…

Q: Suppose we want to choose 6 letters, without replacement, from 13 distinct letters. (If necessary,…

A: Giventotal no.of distinct letters(n) = 13no.of letters to be choosen(r)= 6

Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

A:

Q: Answer the questions below. (If necessary, consult a list of formulas.) (a) From a collection of 52…

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

Q: How many uses TV only How many uses the Internet only How many use TV and Internet but not…

A:

Q: For the following question, state 2 different ways that you can solve this problem. DO NOT SOLVE.…

A: Solution:- This is a case of multiplication rule: Number of different uniforms possible is computed…

Q: At a university, a dean is going to select 4 volunteers to serve on a committee. There are 11…

A: At university, a dean is going to select 4 volunteers to serve the committee. For this there are 11…

Q: Mary, three female friends, and her brother, Peter, attend the theater. In the theater, empty seats.…

A: There are a total of 5 people attending the theater.In the theater, there are 10 empty seats in a…

Q: An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold…

A: a) There is total 10 cold dishes and 6 hot dishes. Hence, the total number of dishes are, 10 + 6 =…

Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…

Q: Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress…

A: He can pick a shoe in 3 ways, a boot in 4 ways, a jeans in 8 ways, a dress pant in 9 ways, a dress…