. Use inductive reasoning to predict the next number in each list: 1) 2, 4, 8, 16, 32, 64,. 2) -2, 3, -4, 5, -6, 7, 3) 2, 5, 10, 17, 26,

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

A:

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: Suppose we want to choose 5 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

Q: Applying the Venn Diagram, A teacher announces that out of 30 students in class, 16 passed both…

A: Given data: Total student = 30 16 passed both Math and Science 24 passed the Science test To find:…

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

A:

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: . In how many ways can you arrange all the letters of the word TORONTO  a) that begin with a T? b)…

A:

Q: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels…

A: Explanation: Total number of letter in the word "LEADING" = 7 It is given that the vowels should…

Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: Given S = {1,2,5,8,9}, in how many 3 digit numbers can be formed if each number cannot be used more…

A: Here given ,  There are total 5 digits are available . And from given 5 digits make 3 digit number…

Q: In a conference, we have  15  people with college degree 20 people who have job 40 people with no…

A: Let A denote set of people with college degree. B denote the set of people who have job. A¯ denote…

Q: Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In…

A: Solution: From the given information, there are 8 roads connecting town A to town B and 4 roads…

Q: In how many different ways can 6 people be seated in a straight line if two of them insist on…

A:

Q: In how many ways can the letters of the word 'RETAIL' be arranged in such a way that the vowels…

A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…

Q: c) How many numbers must be selected from the set {1, 2, 3, 4, 5, 6, 7, 8} to guarantee that at…

A: Given the set of numbers 1,2,3,4,5,6,7,8 To find how many numbers must be selected from the set to…

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: In how many ways can the letters of the word ACCOMODATIONS be written 111.

A:

Q: a) What if the person violates all 7 rules? b) What if the person never drinks alcohol and always…

A: Here use combination

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

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

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , ALL ARE TOTALLY DIFFERENT YOU HAVE…

Q: Inductive reasoning of 1,8,27,64,125

A: 1,8,27,64,125 =13,23,33,43,53,63 and so on

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: Given Мean 3, 4, 9, 11, 5 7, 11, 10, 13, 5, 6 13, 3, 6, 8, 12, 9, 5 15, 11, 16, 15, 18, 20, 20 21,…

A:

Q: Write a single statement that displays a number at random based on the specified set: (a) 2 4 6 8 10…

A:

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

A:

Q: Applying the Venn Diagram,  A teacher announces that out of 30 students in class, 16 passed both…

A:

Q: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if…

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

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: 1. A youth club has 77 members. 65 like gardening, and 35 like cooking, while 33 like both gardening…

A: a. Draw the Venn diagram as follows.

Q: In a meeting, we have  25  people who go to school 30 people who have part time job 45 people…

A:

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: In how many different ways can a panel of five on-off switches be set if no two adjacent switches…

A: Five on-off switches to be set such that no two adjacent switches can be off. Case 1 : First switch…

Q: How many permutations of the letters in word MASSACHUSETTS have a consonant in the first position…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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

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

Q: How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b) Greater…

A: (a)given digits are 4,5,6,7,8.     Number of digits = 5 ; for the formation of 3 digit numbers from…

Q: in how many ways can we seat 7 people at a round table with certain 3 people side by side? (Answer:…

A: Permutations and combinations are used to arrange the selection of k units from a set of objects N.…

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: (e) How many 15-letter words are there which have no repeated letters, and include ZEBRA as a…

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

Q: What is the symbolic form for: All whole number are even or odd.

A: Let 'x' be the whole number. 'y' be an even number 'z' be an odd number.

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: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10.…

A: To decide whether P is a subset of Q or the other way

Q: In an encyclopedia of​ language, the author presents five sentences that make a reasonable paragraph…

A:

Q: In how many ways can the letters of the word “LEADER” be arranged?i

A:

Q: Of the 58 students in a mathematics​ class, 22 are taking​ French, 24 are taking​ German, and 7 are…

A: A Venn diagram is a pictorial representation of sets using circles or other closed figures inside a…

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

Q: 11 How many 6-letter words (even without meaning) can be created from the letters of the word…

A: There are several powerful methods for counting objects and sets of objects without actually having…

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…