There are 100 students waiting in line to get student IDs. Of these, 50 are from Indiana, 45 are freshmen, and 20 are neither freshmen nor from Indiana. How many of the students are freshmen who are not from Indiana?

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: From the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9, how many three-digit numbers greater than 400 can be…

A: digits : {1,2,3,4,5,6,7,8,9}  select 3 digits to make 3 digit number.  find no. of ways to make…

Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: A company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: In a survey of 111 pet owners, 16 said they own a dog, and 54 said they own a cat. 8 said they own…

A: The total number of pet owner is n=111. Let D denotes the set that contains dog owners and C denotes…

Q: The Parliament of the country of Koo has 176 members in all. Of them 52 belong to the Conservative…

A: We have, n=176= total number of members in parliament A= 52= the no. Of members belongs to…

Q: Eleven people work in an office. If six of them are to be chosen to serve on a hiring committee, how…

A: Total people in office = 11 Six of them are to be chosen to serve on a hiring committee.

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: In a survey of 121 pet owners, 47 said they own a dog, and 79 said they own a cat. 36 said they own…

A: Given that Total pet=121, Cat=79, Dog=47, both Cat and dog=36

Q: Evaluate. 517! 614!

A: Given data:     The expression is: n=(5!7!)/(6!4!).   STEP-1 The expression for n! is,

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

A:

Q: A group of 100 people touring Europe includes 38 people who speak spanish, 58 who speak portuguese,…

A:

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: A shipment of 520 calculators, 16 are found to be defective. How many defective calculators are…

A:

Q: How many license plates can be made using either two or three letters followed by either two or…

A:

Q: A survey of 100 people showed that 25 own a car, 58 own a bicycle, and 17 own both a car and a…

A: Solution-: We have Number of people showed that own a car =25               Number of people showed…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.