A A major Lottery game called 6/58 is very famous in the Philippines. A lucky winner will emerge if he picks 6 correct numbers in any order from the numbers 1 to 58. How many 6 number combinations are there in this kind of lottery game?

Q: 3) Sarah writes down random positive integers when she gets bored. Prove that if Sarah writes 1001…

A: Given:  Sarah writes 1001 numbers.  Since there are 10 digits, i.e., there are only 103 = 1000…

Q: | st 5. There are 10 horses in a race. In how many ways can one pick the top three finishers (1st…

A: 3 horses can be selected out of 10 in 10C3=120 ways. Therefore one can pick top three finishers in…

Q: In the BS Lottery, players choose 5 numbers out of 30. They win if they choose the same 5 numbers as…

A: In the BS Lottery, players choose 5 numbers out of 30.

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: Introduction: There are 4 digits to be selected for the game. Each digit can be any one between 0…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A: i) All four digits are unique The probability is determined as below,…

Q: A computer system uses passwords that have six characters, and each character is one of the 26…

A: Given that there are 26 character and 0-9 number

Q: (a) In how many ways can we select 4 people from a group of 10 people and award them first through…

A: a) Since we want to give them awards by ranking, so here arrangement matters. We will have to use…

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: How many combinations of names were possible for those three babies?

A: Here given  Parents are having triplet babies and have put 5 unique name cards in a bowl. When the…

Q: 7) Suppose that a class of 20 students is assigned to write an essay. Suppose 4 essays are picked at…

A: Total number of students in class = 20 Number of essays to be picked at random = 4

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: A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For…

A: Here we have to form A Four bit code word of four digits using the digit 0 and 1

Q: A code have 4 digits in a specific order. The digits are between 0-9. How many different…

A: Code = 4 digits No. of available digit = 10 Repetition = not allowed Order is important, so we will…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: In the New York state lottery game “Lotto” a player wins the grand prize by choosing the same group…

A: Since,for the collection of items where the selection by order does not matter,combination is used…

Q: A certain lottery is won by selecting the correct six numbers from 1, 2, . 33. The probability of…

A: Note: "Since you have posted multiple questions, we will solve the first question for you. If you…

Q: A musician plans to perform 5 selections. In how many ways can she arrange the musical selections?…

A:

Q: How many 4-permutations of the multiset {A®, B®,C5,D²} exist?

A: claim- how many 4-permutation of the multiset A∞ , B∞ , C5 , D2exist ? as we know  number of r…

Q: How many different license plates are possible if each contains 3 letters (out of the alphabet's 26…

A: The objective is to find different possible license plates if each contains 3 letters followed by 2…

Q: The number of ways to pick 6 different numbers from 1 to 47 in a state lottery is 10,737,573.…

A: We can pick 3 correct numbers from 6 correct numbers in 6C3=20 ways We can pick (6-3)=3 other…

Q: A researcher uses an anonymous survey to investigate the study habits of American college students.…

A: It is given that the number of surveys is 56 while an average of 4.1 hours each working on course…

Q: One hundred draws are made at random with replacements from a box. (a) If the sum of the draws is…

A:

Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

A:

Q: How many distinct permutations can be made from the letters of the word "COMBINATORICS" ?

A: Given word is: "COMBINATORICS" Total number of letters are 13. Multiplicity of letter C is 2.…

Q: How many permutations of the 26 letters of the English alphabet do not contain any of the strings…

A: We have to find how many permutations of the 26 letters of the English alphabet do not contain any…

Q: 4. How many 4-digit numbers that are divisible by 10 can be formed from the numbers 3. 5. 7. 8, 9. 0…

A: Discaimer : 12:31Since you have asked multiple question, we will solve the first question for you.…

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

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted... Given…

Q: An environmental education club has 318 members. Select all methods that would select a sample of 20…

A: the process of taking out some part of the population is called sampling. there are some techniques…

Q: A research center claims that more than 21​% of employees in a certain country have changed jobs in…

A: Given  p=0.21, x=70, n=280  Note: According to Bartleby an expert can solve only one question and…

Q: Toplay the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying…

A: It is given that a person selected 5 out of 45 numbers. Therefore, the total number of combinations…

Q: A PIN-number for a credit card consists of a sequence of 4 digits chosen from the set…

A: Given the set {0,1,2,3,4,5,6,7,8,9} We find the 4 digits different PIN number

Q: A lottery game requires that 4 different numbers are picked from 1 to 9. If someone picks all4…

A:

Q: A research center claims that more than 31% of employees in a certain country have changed jobs in…

A: We hve given that,  number of success =  x= 91 sample size = n =260 population proportion =…

Q: A 5/34 lottery is a game where a player wins if they select any 5 numbers from 1 to 34.  How many…

A: Here we want to find the number of ways five number be selected out of 34

Q: The number of ways to pick 6 different numbers from 1 to 44 in a state lottery is 7,059,052.…

A: Formula : Hypergeometric distribution is given by

Q: 5) How many different passwords are possible? If a cell phone's password consists of eight…

A: Given: Considering 0 to 9, there are 4 even numbers and 4 odd numbers. In alphabets there are total…

Q: Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such…

A:

Q: 4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-…

A: Given: 4) License plates consist of 3 letters followed by 2 or three digits. To find: How many such…

Q: 3. How many different 6-digit numbers can be formed from the numbers 25627 2? permutation set up

A:

Q: There are 11 songs inside a person's playlist.  If the music is shuffled randomly and they listen to…

A: Given that there are 11 songs inside a person's playlist. If the music is shuffled randomly and they…

Q: 10. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: we have to find five digit number which is divisible by 2 using 2,4,6,7,9

Q: Which notation expresses the number of permutations of 9 items taken 6 at a​ time

A: Number of permutations of n items taken r at a time is given by Pn, r=Prn=n!n-r!

Q: On a tv quiz show, a contestant is asked to pick an integer at random from the first 100 consecutive…

A: Solution

Q: How many 5-number license plates can be made using the digits 1,2,3,4,5,6,7, if an odd digit must…

A: Given Data: The total number of digits available is: n=7 The numbers required on number plate is:…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A:

Q: Parents are having triplet babies and have put 4 unique name cards in a bowl. * When the first baby…

A:

Q: tudents are selected from a group of 13 students for prizes. How many different possible groups…

A: Solution: The students are selected from a group of 13 students  for prizes. To find the different…