Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In how many ways can a person travel from A to C via B? O 32 ways O 64 ways O 12 ways O 16 ways

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: You are tasked to arrange five different Mathematics books, four different Science books, and three…

A: Given,no.of mathematics books=5no.of science books=4no.of English books=3

Q: 1. The Rotary Club and the Jaycess Club had a joint Christmas party. 120 members of the Rotary Club…

A: Venn diagram are used to understand the set of relationship between the two or more sets. It also…

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 the letters of the word “rhubarb” be arranged so that all of the vowels are…

A: Given that, The letters of the word “rhubarb” should be arranged such that all vowels are together.

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

A:

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 arrangements can be made using all of the letters of the word MISSISSIPPI if: the…

A: Given that: Word: MISSISSIPPI To find: Number of arrangements begin with 3I's, there are two cases:…

Q: In how many ways can 3 mathematics books, 5 science books, and 2 language books be arranged in a…

A:

Q: 26. A panel of 4 is to be formed from 4 boys and 3 girls. If it must contain at least 2 girls the…

A: As per our guidelines, we are allowed to answer one question per query, Please post other questions…

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: 9. There are 5 different roads from City A to City B and 3 different roads from City B to City C. In…

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Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

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Q: In (R., 7rom), if A = n EN}. and B = (2, 3) then AUB=

A: We know that cl(AUB)=cl(A) U cl(B) Where cl(A) means closure of A

Q: (a) by any door, (b)  by different door?

A: Here use combination  for no of ways person can leave and enter from desk

Q: In how may ways Can including 'tuo' shelf the Eaghsh broks together beoks Englsh Such on be ananged…

A: Total number of books are 8. Number of English books are 2

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

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Q: In how many ways can president, vice-president, and secretary be chosen from a group of 20 people,…

A: Ways of selecting some fixed number of people from given set of number is done by simp0le counting.…

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

A: Manila to Pampanga : 2 ways Pampanga to Bataan : 3 ways From Batana to La Union : 5 ways     in how…

Q: A California study concluded that following 7 simple health rules can extend a man’s life by 11…

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Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: 1) A committee of 5 is to be selected from a group of 7 men and 6 women. How many different|…

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Q: 5. For ea three c and be a)

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

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: From among the 36 students in a class, one president, one vice-president and secretary are to be…

A: Given that

Q: Assuming the roles of president and secretary cannot be filled by the same person, how many ways are…

A: When Tyler is chosen as president, we have 3 choices for the post of secretary. So there are 3 such…

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: 4. A committee of 6 officials is to be chosen from 8 men and 7 wor If the committee is to contain at…

A:

Q: 5. From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, if six-digit numbers are to be formed and…

A: 5) Total number of digits to be used 8 Unit digit can hold any of the 4-digits; 3,5,7,or 9 for an…

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: How many ways can a three-person executive committee (president, vice-president, secretary) be…

A: The number of member on the board of director  =14

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: There are 4 different Mathematics books, 7 different English books and 5 different Science books. In…

A: Given,no.of mathematics books=4no.of English books=7no.of science books=5

Q: A club consist of three men and seven women. in how many way can this club elect a president, vice…

A:

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

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

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

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

A:

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: n a class of 280 first year students, 65 study only Spanish, 100 study Chemistry, 175 study…

A: Given: There are 280 students in a first year class. 65 students study only Spanish. 100 students…

Q: 3. A teacher will ask the first student that arrives to class to hand out papers, the second student…

A: given,      total number of students =16, first student to hand out papers ,second student to take…

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

A: Given ,  In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…

Q: If dining time is 60 minutes, the lounge seats 48, and there are 180 dining-room seats, then the…

A: The second option is the correct choice. Use the queuing model to find the turning time for every…

Q: From among the 36 students in a class, one president, one vice-president and secretary are to be…

A: It is given that, there are 36 students in a class. Out of which one is elected for president, one…

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A:

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

A: Given that, 5 people are available in painting the exterior of residential buildings.