) 1. Larry has started placing numbers on this Venn diagram. He was told that no number 4, 12, 30 is to be entered more than once. Factors of 60 3, 4, 12 Factors of 72 10 20 4, 12, 24 6. 6. 3, 4, 15

Q: O store associate at TRU wants to create a stu O 6 multichoose 29 O 29 to the power of 6 O 29! O…

A: Given, a bookstore associate at TRU wants to create a student bundle of 6 textbooks from among 29…

Q: help

A:

Q: How many different 5-letter words can be made a. if the first letter must be C, Z, T, or L and no…

A:

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

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: , determine whether AB is equivalent to PÓ. В 3 (3, 3, 5) A = (1, 1, 0) Р %3 (2, —9, 7) 03 (4, —7,…

A: we have to determine whether the given vectors AB and PQ are equivalent. A=(1,1,0) , B=(3,3,5)…

Q: (a) If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word,…

A: Here as PER POLICY  I HAVE CALCULATED  1ST main question only    9 letter word selected from total…

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: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

A:

Q: IV How many different number plates for cars could be made if each number plate contains four (4) of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

A:

Q: How many different 7-letter words can be made a. if the first letter must be E, X, T, or L and no…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: 3.55. a) How many three-digit numbers with different digits are there formed by digits belonging to…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

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: 5. How many arrangements can be made of the letters P, Q. R, S, T, taking two letters at a time if…

A: GivenThe letters are {P,Q,R,S,T}No. of letters = 5

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many…

A: We can find answer to both the question as below

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A: The number of students who played hockey and soccer = 12 The number of students who played  all…

Q: How many different 6-letter words can be made a. if the first letter must be B, Y, P, or M and no…

A:

Q: a. If there are 8 different colors of foot balls are available in a sports shop, in how many wavs…

A:

Q: 20 How many 5-permutations are there of a set of eight objects? 336 O 6,720 56 O 40

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: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A:

Q: 2. Answer the following below: i. In how many ways can 3 runners be selected from a group of 10…

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: 1)Use the pigeonhole principle to prove the following statement.    Given any seven integers, there…

A: Solution: Given seven integers and we have to prove out of those seven  4 integers for which the sum…

Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: Answer the following: a) How Many ways can a stylist arrange 5 of 8 vases from left to right in a…

A: The given questions are related to permutations. The formula is given by nPr=n!(n-r)!

Q: If n(A) = 9, n(B) = 12, and n(ANB) = 5, what is n(AUB)?

A:

Q: a. In how many different ways can the letters of the word computer be arranged if the letters co…

A:

Q: (e) How many integers are there from 1,0 through 9,99 (b) How many odd integers are there from 1,000…

A:

Q: 5. How many permutations are there in the letters of the word BALLOON

A:

Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Given:  The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts;…

Q: 2. In a survey of 60 people it is found that 25 like to drink milk, 26 coffee and 26 tea. Also 9…

A:

Q: 10. ow that if there are 30 students in a class, then at least two have last names that begin with…

A:

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: 1. How many 3-digit numbers can be forms from the four digits 0,1,2,3 if: a) no two digits are to be…

A: according to our guidelines we can answer only three subparts, or any question and rest can be…

Q: 1. Find the number of permutations of the elements in the set 1,3,5,7,9,11. 2. How many different…

A:

Q: 1. Find the number of distinguishable permutations of the digits of the number 3,283,882,432,599.…

A: “Since you have asked multiple question, we will solve the first three question for you. If you want…

Q: How many three-digit numbers can be constructed from the digits 0, 3, 4, 5, 6, 8, 9 if: a)…

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

Q: D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice-…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: In how many ways can you arrange books of the on a shelf if there are 4 of the same kind of Math…

A:

Q: If n(A)=10, n(B)=20, and n(AUB)=25, then find n(ANB).

A: given n(A)=10 n(B)=20   n(A∪B)=25 We have to find n(A∩B)

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (c)        A committee of six is to be formed from nine women and three men. In how many ways can…

A:

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Three digit number is formed using digit…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.