Roster method whole numbers less than 12

Q: Suppose that I want to purchase a tablet computer . I can choose either a large,medium or small…

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Q: How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

A: Followings are the Explanation of the question   Find out the How many subcommittees of 5 people can…

Q: Sove using polya method: In a UAAP Volleyball league consisting of 8 teams, each team plays each…

A: Polya method is a way of solving any problem by following four processes, which are,  Understanding…

Q: Telephone area codes are three-digit numbers. The first digit is not 0 nor 1. How many three-digit…

A: The number of digits in Telephone are 3.

Q: 7 identical prizes are distributed to a group of 21 people. How many ways are there to distribute…

A: The given details: 7 identical prizes are distributed to a group of 21 people. That is, Number of…

Q: Bereken n. / Calculate n. (n + 2)! =12 n!

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Q: Ten honors students, each from a different high school in a county are lined up in two rows of five…

A: The main objective is to determine the number of arrangements under the given conditions. (a)…

Q: A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4…

A: Solution: From the given information, there are 4 types of drinks, 4 types of sandwiches and 2 types…

Q: How many different possibilities are there for 30 athletes to win​ first, second, and third​ places?…

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

Q: How many ways can you make change for a quarter? (Different arrangements of the same coins are not…

A: Given dataHow many ways can you change for a quarter using only pennies , nickels , dimes.

Q: Donald is making a salad at Sweet Tomatoes.  His salad can consist of just lettuce, or he can add…

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Q: amount of baggage. You have 15 outfits picked out, but there is only space for 10 in your baggage…

A: The solution is:

Q: Victor albinism a Mason graduate owns the taco bamba restaurant.they offer 11 different varieties of…

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Q: how many study groups of 3 girls and 2 boys can be formed?

A: here given class contains 32 girls and 18 boys  here use counting principle

Q: Jse the multiplication principle to solve. There are different ways to buy the products needed.…

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Q: A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after the other,…

A: Given info:A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after…

Q: Choosing 3 side dishes froM A Menu that offers 6 vegetables side dishes and 4 starches. HoW Many…

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Q: how many passwords are there if you do not allow repeating digits? b.) How many passwords are there…

A: Since , the passwords are made by using 4 digits from 1-9. Total numbers=9 Password length=4 Our aim…

Q: 2. (Polya's Method). In how many ways can you answer a 12-question true-false test if you answer…

A: Polya's method has 4 step  Step 1 : Understanding the problem Step 2 : Devise a Plan Step 3: Carry…

Q: Book Arrangements How many different ways can 6 identical hardback books, 3 identical paperback…

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Q: Baskin's Robbins has 8 different toppings to choose from for a bowl of ice cream. How many different…

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Q: produce four pieces. How many pieces are produced by five cuts.

A: Given that  One cut of a stick of licorice produces two pieces. Two cuts produce three pieces. Three…

Q: a-2. How many of the cities had a vacancy rate of at least 6% but less than 9%? Number of cities…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: Donald Wheeler is ordering a salad. He can purchase the salad consisiting of just lettuce. or he can…

A: The solution for the above question is as shown below.

Q: how much stuff can u stuff inna stuffy? can you even stuff enough stuff?

A: Introduction: The stuff has to be existing and the stuffy too.

Q: 5 Kali orders the sirloin tips at Hoss'. She can pick between the 10 oz, 8 oz or the 6 oz portion.…

A: 5) Given information: Different types of portion = 3 Different ways of steak prepared = 5

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

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Q: Counting: Hiring There are 15 qualified applicants for 5 trainee positions in a fast-food management…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set…

Q: 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to…

A: Given problem Given that    There are 2 major roads from city X to city Y and 4 major roads from…

Q: License plates in a particular state display 3 letters and 3 numbers. How many different License…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: llustration 16.22 (a). There are six seats available in a compart- ment. In how many ways can six…

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Q: Combinations How many subcommittees of 5 people can be formed from a committee consisting of 8…

A: How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

Q: A donuts shop caries 8 different types of donuts. How many donuts the shop needs to guaranty that…

A: Here we have to go for the worst possible case.

Q: pvote. N

A: Introduction: For each and every natural number n, mathematical induction is a strategy for proving…

Q: dinner selection how many ways can a dinner patron selected 3 appetizers and 2 vegetable it there…

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Q: Number of ways to give out 3 prizes to 40 people if all the prizes are different.

A: GivenTotal no. of people = 40

Q: 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: When you became a manager, your $25,000 annual salary increased 25%. You found the new job too…

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Q: You roll a fair die 750 times and count the number of times, N, that you roll a 5 or 6. Estimate…

A: Let N be the number of times the die shows a 5 or 6. Let us consider Xi as Xi=+1, if ith roll is a 5…

Q: Number of construction days Options 20.5 days If 30 workers working 7 hours a day can construct a…

A: Given that 30 workers working 7 hours a day can construct a floorin 18 days.So,number of man hours…

Q: Customer account numbers for a certain company consist of 2 letters followed by 2 single digit…

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Q: mbinations and Permutations How many ways can choose 20 friends to be invited to the party out of 25…

A: As we know that the choice of r element out of n elements is:- nCr=n!r!(n-r)!

Q: pool of 6 candidates. How... A company has to select 3 officers from a pool of 6 candidates. How…

A: Given: Number of candidates = 6 Number of officers selected = 3

Q: 3. Best Pizza VI has a special running where you can get a large 3 topping pizza for only $20. They…

A: a)  Selecting 3 out of all the topping, i.e. from 7+8 = 15 topping  Hence, total number of…

Q: 7 members of a city council decided to form two committees of 4. One of the committees will be…

A: Given that exactly 3 members belong to both of the committees and each committee will have 4…

Q: There are some sweets in a container. When the sweets are put into bags of 4 or 10, there are no…

A: topic - lowest common multiple

Q: 4 trucks for every 5 cars in a parking lot.   How many trucks and cars could be in the parking lot?

A: Given that there are 4 trucks for every 5 cars in a parking lot. Total number of vehicles=4+5=9…

Q: Container has been a bit of mango. It is paid for 1/8 of one-eighth. There are 12 mangoes left. How…

A: Container has been a bit of mango. It is paid for 1/8 of one-eighth. There are 12 mangoes left. To…

Q: 1.) Machines S and T were both cleaned this week. Machine S is cleaned every 12 weeks. Machine Tis…

A: Here the time period of cleaning of the two machines are different. So the next time when both of…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.