n different toys have among children. Find which these toys can exactly one child gets

Q: Among 10 students , 4 of them will be selected for a project .in how many ways can they be selectes

A: In question, We have given that among 10 students , 4 of them will be selected for a project. The…

Q: Three Players were numbered as 1, 2, and 3. How many teams of two players can be formed? List down…

A:

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: Suppose there are 14 boys and 6 girls in a classroom. A teacher randomly selects 5 students from the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Find the number of stack permutations of {1, 2, 3, 4, 5}.

A: We have to find the number of stack permutations of

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

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: A bag contains 4 each of red, blue, green, and yellow balls. How manyways are there to select 8 so…

A: According to the provided information, a bag contains 4 each of red, blue, green, and yellow balls.…

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

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

Q: Six different books need to be placed on a shelf. You randomly arrange the books on the shelf from…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

A:

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…

Q: One ticket will be drawn at random from the box below. Let A be the event that the ticket has a…

A: It is given that  Total number of tickets = 6 Number of ticket has a value 8 = 2 Number of tickets…

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

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Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: A class has 18 boys and 13 girls as students.

A: Given data:     The total number of boys in the class is: B=18. The total number of girls in the…

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A: Here take n= No of students in a class Now after addition no of students in a class= n+2

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 that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

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

Q: There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1,2, 3,…

A: Here given that there are 6 numbered balls in a bag. Each ball has a distinct number and the numbers…

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

A: Given: There are 5digits 0 , 1 , 2 , 3 , 4 We need to count number of  5 digit number plates…

Q: Find the combinations of 5-card poker hands containing an ace of diamonds and at least 1 spade card

A:

Q: A teacher will randomly award three students with extra credit. How many possible ways can the…

A: Given that  , a teacher will randomly award three students with extra credit .  Teacher can pick…

Q: How many combinations of 5 objects are there when selected 3 at a time?

A: Given that there are 5 object and we have to select 3 at a time.

Q: Advanced Math Question

A: The formula is given as, 360°/n , where, n is the number of sides of a regular n-gon (polygon of n…

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…