Using the pigeonhole principle In a group of 100 people, at least how many people have the same birth month?

Q: at school assembly 3 out of the first 10 students were wearing spirit wear.based on this…

A: Given That At school assembly 3 out of the first 10 students were wearing spirit wear  Total…

Q: An experiment involves tossing five coins. How many elements are there in the domain?

A:

Q: True or False: In a group of fifty (50) people, there must be at least 5 people who were born in the…

A: True or False: In a group of fifty (50) people, there must be at least 5 people who were born in the…

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 45 subjects. How…

A: It has been provided, Number of subjects that are randomly chosen (r) = 5 Total subjects (n) = 45

Q: How many days must be selected from the year to guarantee that at least 4 falls in the same…

A:

Q: a 50 member club will elect a president and then a vice president from their membership. how many…

A: Given: The total number of members is 50

Q: . 10 students passed a test in which the top three will get a prize. How many possible ways are…

A: We have to answer question number 7

Q: how many combinations are possible? assume the items are distinct. 16 items chosen 16 at a time

A: Only one combination is possible.

Q: In a state lottery, there are 14 finalists who are eligible for the Big Money Draw. In how many ways…

A: Given for distributing first prize we have 14 choices.

Q: The number of permanent subscribers of the YouTube channel Ilocano Math TV increa

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Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 36 subjects. How…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

A:

Q: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least…

A: Given Coin flip five times how many ways could you obtain at least one head?

Q: HIV and AIDS: In April 2017, there were 629 new HIV antibody sero-positive individuals reported to…

A: 2017 10-19 15-24 25-34 >34 Total M-F M-M Both          8 19 6 84 315 197 629…

Q: A pollster randomly selected 4 of 10 available people. How many different groups of 4 are possible?

A: Given,   A pollster randomly selected 4 of 10 available people.   The objective is to find how many…

Q: 5. A clinical researcher is conducting a study using an FDA approved medication that helps patients…

A: Given that  The researcher obtain a sample size (n)= 350 Believe that medication works on 75% of the…

Q: In an experiment on social​ interaction, 6people will sit in 6 seats in a row. In how many ways can…

A: Here we Wang to know how many ways six people can sit in six seats in a row.

Q: 5. According to a recent study, 7 out of every 500 Americans aged 13 to 17 years are vegetarian. In…

A: Given: 7 out of 500 Americans aged 13 to 17 years are vegetarian.

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: In an experiment on social interaction, 11 people will sit in 11 seats in a row. In how many ways…

A: Introduction: The total number of ways in which n items may be placed in n positions, one after the…

Q: How many have HIV? Researchers from Yale, working with medical teams in Tanzania, wanted to know how…

A: It is important to adhere to ethical norms in research. This will help in developing knowledge and…

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: An election ballot asks voters to select five city commissioners from a group of fourteen…

A: It is provided that in an election 5 city commissioners are selected from a group of 14 candidates.

Q: An election ballot asks voters to select three city commissioners from a group of twelve candidates.…

A: Answer is following-

Q: Question: How many different groups of seven balls can be drawn from a barrel containing balls…

A:

Q: illustrate the hand-shaking theorem?

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Q: 5. A pharmaceutical researcher needs 7 people to test the effectiveness of an experimental drug. If…

A: we have to select people therefore we will use combination nCr=n!/r!(n-r)!

Q: Following the model above, if 128 different people each observe one randomly chosen groups of four…

A:

Q: Using the pigeonhole principle How many numbers must be selected from the set {1, 3, 5, 7, 9, 11,…

A:

Q: How many times must a person flip a fair coin to ensure that the chances of obtaining at least 1…

A: Given dataProbability of obtaining at least 1 head is 99% or betterIn flip of fair coinProbability…

Q: An experiment involves tossing three fair coins. How many elements are there in the domain?

A:

Q: How many collections are possible? How many of these collections contain HPQ but not SAGE? How many…

A: Given, Purchasing 3 tech stocks and 2 health care stocks from those stocks To find The number of…

Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: 1. Four children are chosen from a class of 30 for a survey. How many ways can this be done?

A: Given problem Given that   1)  Four children are chosen from a class of 30 for a survey. The…

Q: the Aloha state, you are very unlikely to be murdered! However, it is considerably more likely that…

A: The distribution is given as under: Crime Crime Rates Burglary 903.6 Theft 512.7 Assault…

Q: Example 6. In a survey of 500 students in a college 180 were listed as drinking Tea, 275 as drinking…

A: Let T=students in a college were drinking TeaC=students in a college were drinking…

Q: Only 45% of registered voters voted in the last election. Will voter participation be even lower for…

A: Given Only 45% of registered voters voted in the last election. Will voter participation be even…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: estion 24 According to the Pigeonhole Principle, among any group of 8 people, there must be at least…

A: according to pigeonhole principle

Q: 4) In Toronto, Canada, 55% of people pass the drivers' road test. Suppose that 100 people take the…

A:

Q: On a youth soccer team 3 out of 12 team members have played in previous years. Based on this…

A: The formula of mean is,

Q: 10.) How many birth certificates do you need to guarantee that there are at least 2 people who have…

A: We have to find nom of certificate required

Q: A deli offers 14 different toppings. How many different groups of 3 can be made?

A:

Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Solution: We have to find out answer

Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

A:

Q: 2. A criminal profiler is seeking to create a profile and notes that a suspect liked to watch the…

A: The given profile is for creating the profile and notes that a suspect like to watch the fire trucks…

Q: Two cards are drawn in succession and in without replacement from a set of 12 cards. How many sets…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

Q: 5. A health spa claims that a new exercise program will reduce a person 's waist size at least 2…

A: Confidence interval is a simpler and shorter way of testing the null hypothesis.

Q: 2. A survey of 100 students revealed that 82 were in Math and 65 were in English. How many students…

A: A survey of 100 students revealed that 82 were in Math 65 were in English.   We have to find how…