10. Assuming that everything in the US (300 million people) identifies with male or female and has less than 10 children, show that there exist at least 3 people that have the same gender, number of children, three letter initials, and birthday.

Q: Le US can you guarantee have the same three

A:

Q: A bowl contains 100 piece of colored candy: 28 green, 20 red, 12 yellow, 10 blue, 20 brown, and 10…

A: Given that a bowl contains 100 piece of colored candy in which 28 green, 20 red ,12 yellow, 10 blue,…

Q: 3. You have a bag of 100 marbles, and it contains 6 different types of marbles. You decide you want…

A:

Q: 27. There are 3,200 families with five children each. How ma them are expected to have (a) 3 boys,…

A:

Q: 90 people, can there be at least 2 who have the same first digit of a cell number and the same last…

A: The number of people = 90  The phone number consists of 7 digits A phone number should not start…

Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

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

A: we have to find number  of ways..

Q: For adults, certain type of cancers can be treated with multiple health interventions.  To gain…

A: Population is the complete set of elements for which the study is being conducted and inference is…

Q: Assume that 130 students are surveyed and every student takes at least one of the following…

A:

Q: 2. A survey of used car salesmen revealed the following information:  24 wear white patent-leather…

A: Given that,  24 wear white patent-leather shoes 28 wear plaid trousers 20 wear both of these things…

Q: Assume that 155 students are surveyed and every student takes at least one of the following…

A: Event A denotes the 87 take French. That is, A=87. Event B denotes the 89 take German. That is, B=89…

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

Q: 1. There are 3 t-shirts and 2 pairs of jeans in the cupboard. How many possible outfits are there?

A: Given Data: Number of t-shirt=3 Number of jeans=2

Q: How many of the 60 students in a 25-item quiz can have the same score? 2. Apples, bananas, and…

A: The pigeonhole principle can be used to calculate the least number of objects. The pigeonhole…

Q: A baseball tgam has 16 players. Suppose that the team has three star players: Ryan, Glenn and Manny,…

A: Given: The first 3 places are already fixed to Ryan, Glenn, and Manny.

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

Q: 4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow…

A: Given that there are 4 red marbles, 2 green,1 transparent, 3 yellow, and 2 orange marbles. So there…

Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

A:

Q: 7. A box contains 5 red, 7 orange, 6 black, 8 green, and 4 blue marbles. Without looking, Martha…

A: Given data: The given numbers of red marbles are r=5. The given numbers of orange marbles are o=7.…

Q: 5. Show that if there are 30 students in a class, then at least two have last name begin with the…

A:

Q: Assuming that no one has more than 1,000,000 hairs on the head of any person and that the population…

A: We can use Pigeonhole principal to answer this question.

Q: Suppose that every person in a 26-member student organization is either a first- year, second-year…

A: Given that: Number of students in the organization = 26 Number of categories = 3

Q: 4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red…

A: Explanation:in this given 52 cards deck asking why  In step2 explanation will there

Q: 11. A baseball team consists of three outfielders, four infielders, a pitcher, and a catcher.…

A: There are ?   possible batting orders

Q: How many ways are there to place 12 people into four groups of equal size?

A: From the provided information, Number of people = 12 These 12 people divided into 4 groups of equal…

Q: 1. Four cats and five mice enter a race. In how many ways can they finish with a mouse placing…

A: Given that Number of cats=4 Number of mice=5 To find Total number of ways can they finish with a…