7! 35 ways 3 4!3!

Q: There are 17 students in a class, and 5 of them will be chosen to go on a field trip. How many ways…

A: The objective of this question is to find out the number of ways in which 5 students can be chosen…

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

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: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

Q: Imagine a game show on television where one lucky contestant is presented with three upside-down…

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

Q: teacher prepares 12 assignments for her 3 students. How many different ways can the assignments be…

A: GIVEN DATA,A TEACHER PREPARES 12 ASSIMENTS FOR 3  STUDENTS WE HAVE TO FIND OUT THE NO OF WAYS CAN…

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

A:

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a…

A:

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: You are in a class of 10 students. Three students will be picked to be on a committee. A student…

A: Total number of students in a class = 10 number of students picked to be on a committee = 3 A…

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions…

A: The objective of this question is to find out the number of different exams that are possible given…

Q: There is a group of 8 instructors and 13 new students at a university sports match. They wish to…

A: Given that there are 8 instructors and 13 new students at a university sports match. So total…

Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

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

A:

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3…

A: Given

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the…

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…

Q: Twelve people need to be photographed, but there are only five chairs. (the rest of the people will…

A:

Q: There are 7 performers who will present their comedy acts this weekend at a comedy club. One of the…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.