1) In an AP the 9th Term is 73 and the 4th Term is 43. What is the sum of the first twenty terms? 2) In a GP the 6th term is 972 and the 3rd term is 36. Find the sum of the first 10 terms. 3) How many different arrangements could be made using the following letters A B A C E A H L C B

Q: When ordering a certain type of computer, there are four choices of hard dnve, five choices for the…

A:

Q: Shelly Van Doren hired a contractor to refinish her kitchen. The contractor said the job would take…

A: Consider that,Shelly Van Doren hired a contractor to refinish her kitchen. The contractor said the…

Q: Its makke your own burrtio night. Her guest can create thier own burrtios fro the ingredients shes…

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Q: Three men and three women are to be seated in a row of chairs numbered 1 through 6. (a) How many…

A: When n people are arranged in a line it can be arranged by n!

Q: 11: Find the sum of the first 22 terms of the AP : 8, 3, -2, . .

A: Sum of first n terms of a Arithmetic Progression with first term a and common difference d is  Sn =…

Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

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Q: Panny and Ray can do a peice of work in ot work in 42 dayc ,Roy and Vicay in 31 days , and Vicay Cnd…

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Q: n a factory 600 suits are prepared 9 days on 20 machines. How many will be produced on 18 machines…

A: Given, in a factory 600 suits are prepared 9 days on 20 machines.

Q: Three men and three women are to be seated in a row of chairs numbered 1 through 6. (a) How many…

A: Given   Three men and three women are to be seated in a row of chairs numbered 1 through 6.

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

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Q: 5 2. Determine 16+962

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Q: A donut store sells packages store have for sale?

A: Introduction: A function is a method or a relationship that connects each member 'a' of a non-empty…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

A:

Q: If 5,000 magical creatures are planning to use magic pods to travel into the Earth's surface each…

A:

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: In how many ways can 3 students seated in a circular or round table

A: From the given information, Number of students =3

Q: Find the sum 140 Σ 3n = — n=71

A:

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: Add. 525 seven + 346seven

A: In the given problem we have to find the sum…

Q: is company and every year he adds 7 cars, then how many cars will he own in 8 years? O 161 O 311 O…

A: We are given, Initial cars=16Number of cars added per year=7 Hence, the number of cars after 8…

Q: 2. Find the sum of the following terms: 17b?-33b?+105b?+62b?-109b?-5b?.

A: Given: 17b2-33b2+105b2+62b2-109b2-5b2

Q: How many 4 letter arrangements can be made from ABCDE if 'E' MUST be used and letters CAN be…

A:

Q: 1 mile. The 12 The second member swims 7 third member bicycles mile. What is the 8 total distance…

A: Given : first member runs = 56 milessecond member runs = 112 milesthird member runs = 78 miles

Q: A man put some money into a piggy bank once a month. Each month, he put 300 pesos more into the…

A: We have to calculate Money he put in the piggy bank in the first month

Q: 13. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the…

A: In this problem, 6 digits are given and we have to make two 3-digit number using those with exactly…

Q: How many distinguishable ways can 3 people be seated around a circular table?

A: The answer is 3! = 6 different ways of  placing these three people in three distinct positions.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.