Suppose we want to choose  6  objects, without replacement, from  15  distinct objects.(If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is taken into consideration?     (b) How many ways can this be done, if the order of the choices is not taken into consideration?

Q: Suppose we want to choose  5  letters, without replacement, from  10  distinct letters.(If…

A: The objective of this question is to find out the number of ways to choose 5 letters from 10…

Q: Consider 2 classes, the first with 5 students, and the second with 7 students. From this group of…

A: Given data 2 classes First with 5 students and second with 7 students 2 students need to be selected

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

A:

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: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

A: Permutations and combinations

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: 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: Find the number of automobile license plates where: (a) Each plate contains 2 different letters…

A: We have to find number of automobile license plates where each plate contains 2 different letters…

Q: e World Series in baseball continues until either the Americar nal League team wins four games. How…

A:

Q: Suppose we want to choose 5 objects, with replacement for 8 distinct objects.  If the order of these…

A:

Q: Suppose we want to choose 6 objects, without replacement, from 12 distinct objects. (If necessary,…

A: The objective of this question is to find out the number of ways to choose 6 objects from 12…

Q: (a) From the 13 albums released by a musician, the recording company wishes to release 9 in a boxed…

A:

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: O If the order of the choices matters, how many ways can this be done? If the order of the choices…

A: It is given that Number of letters n = 13 Number of letters t9 be chosen r = 6

Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…

A:

Q: Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (If necessary,…

A: given data, we want to choose 6 leteers, without replacement ,from 15 distinct letterswe have to…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: Suppose we want to choose  3  letters, without replacement, from the  4  letters A, B, C, and…

A: The objective of this question is to find out the number of ways to choose 3 letters from 4 distinct…

Q: For the three-part question that follows, provide your answer to each part in the given workspace.…

A: Part A.We are to use the word "MAILBOX" which has n = 7 distinct letters.In this part, we are asked…

Q: Suppose we want to choose 6 objects, without replacement, from 11 distinct objects. (a) If the…

A: We have to find A)Number of ways to choose 6 objects, without replacement, from 11 distinct…

Q: Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk,…

A: a)There is total 5 objects.

Q: Suppose we want to choose  4  letters, without replacement, from  18  distinct letters.(If…

A: The objective of this question is to calculate the number of ways to choose 4 letters from 18…

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: Hi! I need a solution for this question: There are 4 yellow balls, 3 green balls, 3 red balls, and…

A: 4 yellow balls 3 green balls 3 red balls 2 blue balls __________________ 12 total balls   no. of…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data,  we want  to choose 2 letters, ,without replacement  letters A,B,C,D  and Ewe have to…

Q: A survey of 500 foreign exchange students has determined that: 72 read French 40 read German 41 read…

A:

Q: 11. Consider the word "ADDISABABA" (i) (ii) (iii) In how many ways can the letters of the word be…

A: We have given the word ADDISABABA.  We have to find the number of arrangements of the letters of…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: 10 people are in a club. How many ways are there to form a committee consisting of members of the…

A: 1. Number of ways to form a committee consisting of members of the club such that the committee has…

Q: Peter must select 2 electives from a group of 6 courses. (a) In how many ways can Peter do this?…

A: The answer provided below has been developed in a clear step by step manner.

Q: Suppose we want to choose  6  objects, without replacement, from  8  distinct objects.(If…

A: The objective of this question is to find out the number of ways to choose 6 objects from 8 distinct…

Q: Six rock songs and five rap songs are on a disc jockey's playlist for a radio show. How many…

A: We need to find number of possible ways.

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: Suppose we want to choose 6 objects, without replacement, from 8 distinct objects. (If necessary,…

A: Given data: Number of distinct objects  (n) = 8 Number of objects to choose(x) = 6

Q: Suppose we want to choose  7  objects, without replacement, from  11  distinct objects.(If…

A: The objective of this question is to find out the number of ways to choose 7 objects from 11…

Q: (5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly…

A: (5) We are given that          A = {-2, -1, 0, 1, 2}          C = {n2 ∈ IR : n ∈ A} So, in…