2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are possible if the first letter cannot be 0 or I.

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: In certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…

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

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Q: 12. How many 5-digit numbers are there in which three of the digits are 7, or two of the digits are…

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Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…

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Q: 1/5 of a class study english and 3/5 study math. If the class consists of 80 students, how many…

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Q: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed?

A: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed.

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: c) There are 5 airplanes ready to depart. Runway A and runway D are available. How Many ways can 2…

A: We Know that there are 5 airplanes ready to depart. Runway A and runway D are available. We have to…

Q: 3. A box contains 60 yellow marbles, 110 blue marbles and 90 green marbles. If you pick one marble…

A:

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: How many 4-digit numbers can be formed from 1,2,3,4 and 5 if repetitions are not allowed and it is…

A: Solution

Q: How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at…

A: Given: There are 124 students and 4 sections Section 1 must have at least 30 students, section 2…

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: 2. Five boys and four girls are waiting for the MRT to arrive at Guadalupe Station. In how many ways…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 1. He will repair 2 broken cars in a week 2. Out of 26 pending cars, he will fix more than 50% in a…

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Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

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Q: Question1:-If 6 seats are empty in a train box and two man entered in this coach than they seated…

A: Hi there! Thanks for the questions, since there are multiple questions we have solved the first…

Q: In one state, each automobile license plate shows three letters followed by two digits, or two…

A: The number of letters in alphabet is 26. The number of digits from 0 to 9 is 10.

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

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Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

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Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

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Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: How many 3-digit numbers can be formed that are greater than 5 hundred and whose last digit is…

A: Given conditions: 3-digit number greater than 500 Last digit is a 3 or 9

Q: In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants to be chosen from 7 applicants are 2. Number of applicants to be chosen…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: 2.6. Assume you are picking a number of players to start in a baseball game. You can have up to 15…

A: Given that, The number of starting players is 15. The number of players who cannot play is 10. The…

Q: Suppose there are 6 roads connecting town A to town B and 4 roads connecting town B to town C. In…

A: Multiplication rule of counting: If there are ‘a’ number ways to make the first choice, b ways to…

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: Suppose a milling machine may suffer failure at 12 different locations. The number of ways a…

A: Problem (1 ) State the given statement is true or false

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team…

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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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: Suppose that a department contains 10 men and 15 women. How many ways are there to select a…

A:

Q: (a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways…

A: Given: People buy raffle tickets = 200

Q: A phone number consists of ten numbers.  If the first digit cannot be 0, how many possible numbers…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: If there are 3 roads from Town A to Town B and 4 roads from Town B to Town C, in how many ways can…

A: there are 3 ways to go from A to B  4 ways to go from B to C  3 ways to go from C to B as we can not…

Q: 7. There are 12 students in a class. In how many ways can the 12 students take 3 different tests if…

A:

Q: (3) In how many ways can 5 boys and 2 girls sit in a row if just the girls are to sit together?

A: Permutation is a method in mathematics that is used to find the number of ways in which certain…

Q: If 6 out of 30 people over the age of 100 are male, Ho our of 30 people over the age of 100 are…

A: Given that The number of total people=30 Number of male over aged of 100 =6 Then we have to find the…

Q: From the digits 0, 1, 2, 3, 4, and 5, how many 3-digit numbers can be formed if digits may be…

A:

Q: How many 7-digit numbers can be formed if repetitions are not allowed and the last number cannot be…

A: We have to find 7-digit numbers that can be formed if repetitions are not allowed and the last…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: The first letter has only one(A) chance, the second letter has 26 ways, the third letter has 26…

Q: a committe of 5 people is to be chosen from a group of 6 men and 4 women how many committed are…

A:

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Q: 9. A customer ID consists of 3 digits followed by 2 letters. How many different customer IDs are…

A:

Q: 4) How many pathways are there from A to B assuming you can only travel South and East

A: Given That : You can only travel only  South and East  from  A to B  To Find : Calculate the…

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.