In an enormous car park with 10 levels there are 38 free spots. In how many different ways can the 38 free spots be distributed among the 10 levels?

Q: Suppose we divide a group of 100 drivers into three groups. In a given year, 40 of those people have…

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: A pollster wants to minimize the effect the order of the questions has on a​ person's response to a…

A: The objective of this question is to find out the number of different ways the 5 questions on the…

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: A Permutation is the choice of r things from a set of n things without replacement and where the…

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: How many ways can you arrange 6 of 11 different books on a shelf?

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Q: How many ways are there to distribute 9 cookies to 4 children.

A: Solution:

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

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: 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: If 8 identical projectors are to be divided among 4 different schools how many divisions are…

A:

Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

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Q: The monthly starting salaries of students who receive an MBA degree have a population standard…

A:

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: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

Q: You have 10 concert tickets to distribute among 15 friends.  Of the 10 tickets, six have assigned…

A:

Q: How many ways can 6 different contracts be distributed amongst 9 different​ firms, if any one firm…

A: The total number of different contracts =6 The total number of different firms =9 Given that any one…

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

A:

Q: At Baskin Robbins customers may choose from 32 flavors of ice cream, 7 toppings, and 4 different…

A: We know the formula for combinations is                                 nCr= n!r!(n-r)! Given, at…

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: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: how many times can you put 8 people in groups of 4

A: Here use combination

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

A:

Q: in how many ways can the letters MANAGEMENT be arranged?

A: Total number of ways in which a word with n distinct letters can be arranged is n!But we see that…

Q: How many ordered lists are there of five items chosen from ten

A: According to the given information in this question We need to find the value of P(10,5) We know…

Q: How many different selections of three books can be made from a set of fifteen books?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…