Use inductive reasoning to predict the next number in each of the following lists. a. 5, 10, 15, 20, 25, ?    b. 2, 5, 10, 17, 26, ?

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: A merchant surveyed 330 people to determine the way they learned about an upcoming sale. The survey…

A: Use the following formulae, to obtain the solution.…

Q: Thirty five tourists have visited Japan, 34 tourists have visited Korea, and 19 tourists have…

A:

Q: 2. 100 college students were surveyed, and it was found out that all of them have visited at least…

A: Venn diagram are used to visualize the group of observations. In venn diagram, we can indicate only…

Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

Q: 14) A license plate is to consist of 3 letters followed by 5 digits. Determine the number of…

A: The number of possible ways in which any combination of 5 digits out of a total 10 (0 to 9) can be…

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

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

Q: 200 people were asked which of these sports they have attended. The sports inquired about were: UAAP…

A: Given that 200 people were asked which of these sports they have attended. The sports inquired about…

Q: Use inductive reasoning to predict the next number 4, 8, 12,16,20,24. ? 3, 5, 9,15,23,33? 1,…

A: Note: According to Bartleby an expert can solve only one question and maximum 3 subpart of the first…

Q: ow many different letter arrangements can be made from the letters in the word of COMMUNICATION ?…

A:

Q: How many different 5-letter radio station call letters can be made a. d the first letter must be C,…

A: a. Total possible ways to fill the first letter=3(C,W or Q) Since first position is already filled…

Q: S? the first letter must be E, X, T, or L, and all the letters in the word must be different, then…

A: Permutation is a way to obtain the possible arrangements of listed items in linear order. It is…

Q: here are 39 students in the University Travel Club. The following information and Venn diagram…

A: In the given Venn diagram,  Students who have not travelled to Germany = 25 Students who have not…

Q: 2. 100 college students were surveyed, and it was found out that all of them have visited at least…

A:

Q: i. How many ways a meal-deal can be formed if Alia prefer a set that contain burger? ii. How many…

A: here from given information, main menu have 5 choices  side menu have 5 choices beverage also have 5…

Q: 7. A computer programming team has 15 members consisting of eight humans and seven robots. A…

A: 7. Given that a computer programming team has 15 members consisting of 8 humans and 7 robots. Also,…

Q: In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: (a) In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5,…

A: (a) The car number is formed by 4 digits from the digits 1,2,3,4,5,6,7,8 and 9 followed by 3 letters…

Q: 100 college students were surveyed, and it was found out that all of them have visited at least one…

A: The answer is attached below,

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

A:

Q: 2.100 college students were surveyed, and it was found out that all of them have visited at least…

A: Let's solve.

Q: a) How many words (with or without any meaning) can be formed by arranging the letters in the word…

A:

Q: Assume that 155 students are surveyed and every student takes at least one of the following…

A:

Q: 1 How many ways can the letters of the word "PROMISE" be arranged so that the vowels always come…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 5. a) How many ways can 6 people be lined up to get on a bus?  b) If a certain 3 persons insist on…

A: Given numbers of people. 6 people

Q: A baseball tgam has 16 players. Suppose that the team has three star players: Ryan, Glenn and Manny,…

A: Given: The first 3 places are already fixed to Ryan, Glenn, and Manny.

Q: (b) In how many different ways can a il-men football team be cho- sen from a squad of 20 men if the…

A:

Q: 1. When a group of 25 students are surveyed: O 6 like ice cream O 12 like hot dogs O 15 like…

A: Solution : n= 25 Let, A : students who likes ice cream B : Students who like hot dog C : student who…

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A:

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be cho- sen to…

A: Given data A computer programing team has 13 members

Q: 9. Larry, Jun, Rod, Lyn and Espie are members of a group from which a committee of three will be…

A: There are 5 members from which we have to choose 3 members

Q: 3. How many different ways are there to choose 6 items from 10 distinct items if... a. .the order of…

A:

Q: in how many different ways could Dopey not be between Grumpy or Sleepy

A: Grumpy is second from the right and Sleepy is third from the left. Total positions where Dopey can…

Q: 4 questions multiple choice quiz with four possible answers (A, B, C, and D) is given. In how many…

A: Introduction - Combination Crn=n!n-r!r!where, n=total number of objects in the set r=number of…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: How many arrangements of the letters in MATHEMATICS are there in which TH appear together but the TH…

A: a) The objective is to find that how many arrangements of the letters in MATHEMATICS are there in…

Q: 1. A school has 677 students. Explain why at least two students must have the same pair of initials?…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: 1. Use inductive reasoning to predict the next two numbers in each pattern. (4pts) a) 5,6,9,14,21,…

A: (a). Here difference between two consecutive terms is increasing by respective odd number (as…

Q: beautiful, wore, contest, a, Margot, to, the, pie-eating hat Margot a beautiful hat wore a to the…

A: This is a scrambled sentence. We have to put the words is such a way that they make a meaning.

Q: 16 members is to choose three officers:

A: Given that  A club with 16 members  (n) = 16 we have to choose three officers: President, vice…

Q: Explain the venn diagram, what should i subtract? Given question: If in a convention, 53 people…

A: Sets are the collection which contain well defined objects. If we have two sets, the union of two…

Q: 5. If John gets up and goes to school, he will be happy, and if he does not get up, he will not be…

A:

Q: 11. ( a. In how many ways can they finish? b. The top five runners win medals. In how many ways can…

A: a. they can finish race in 16! ways like anyone from sixteen win the race , anyone rest from winner…

Q: a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first…

A: It is widely used in statistics . It is a fact of combinatorics .

Q: 1.) In the questions below suppose that a "word" is any string of seven letters of the alphabet,…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

Q: In how many ways could members of the following club line up all 10 members for a photograph?…

A: We have to find nom of ways to line 10 members for photograph.

Q: 2. There are 102 students in John's freshman seminar class at SUNY Oneonta. The professor tells her…

A:

Q: One hundred sixty people were surveyed and asked if they believed in UFOs, ghosts, and Bigfoot.…

A:

Q: a) How many words (with or without any meaning) can be formed by arranging the letters in the word…

A: We can solve a maximum of first 3 subparts of the first question only as per company guidelines.

Q: 3. How many permutations of the 26 letters of the English alphabet do not contain MATH, PATH, SUM,…

A: Total number of permutations of n distinct objects is given by n! Then, the number of permutations…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.