Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b) Suppose the locks are constructed in such a way that no number may be used twice. How many choices are there for the first number in the combination?   How many choices are there for the second number in the combination?   How many choices are there for the third number in the combination?   How many different combinations are possible?

Q: On a ballot, the candidates for each office are listed together under the office for which they are…

A: Number of candidates in one office is 5. Number of candidates in another office is 3.

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

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Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 1. How many different 5-member…

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Q: 1. Find the total possible amount of eight-digit palindromics. Also, how many nine-digit…

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Q: As the project manager of a project, you are in charge of a team of seven people which includes…

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Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

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Q: ) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Q(3): The license plates are formed by choosing 2 letters (from total 26 alphabets) followed by 4…

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Q: A computer programming team has 9 members. a. How many ways can a group of five be chosen to work on…

A: The are 9 members in the computer programming team. Useful formula: Crn=n!r!n-r!

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

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A: Committee selections , using permutations and combinations

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A: This question is related to permutations and combinations, we will solve it using given information.…

Q: A 6-digit phone number cannot start with 0 or 1. Assume that there are no restrictions on the…

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Q: If a small monster collector has 20 small monster containment devices; intends to use all of those…

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Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20 and…

A: 1 to 20 there are 20 numbers. Given that no number may be used twice. Means the combination will not…

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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Q: Suppose you have a bag of 10 marbles numbered 1 through 10. Suppose marbles 1, 2, 3, and 4 are red,…

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Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

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Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

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A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

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Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

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Q: A computer operator must select 4 jobs from 10 available jobs waiting to be completed. How many…

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Q: Founders of a new unnamed company have narrowed the list of names under consideration to 30.…

A: Total number of the names for consideration = 30. The company is considering up to 3 names i.e. the…

Q: SCUBA club consists of 9 divers with advanced certification and 6 with just a basic certification.…

A: given that Advance certificate=9 Basic certificate=6

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A: The total members in the club is 11. Of them, 7 are men and 4 are women. The main objective is to…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

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Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the…

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Q: GIVEN THE FOUR LETTER A,B,C,D SELECT TWO LETTERS WITHOUT REPLACEMENT A- LIST OUT ALL THE OPTIONS FOR…

A: A. The four letters are A, B, C, and D. The possible outcomes for selecting two letters without…

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

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

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

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Q: Suppose there are 14 people from which you can choose a President, Vice President, and a Treasurer.…

A: The number of people is 14.

Q: Complete task from image

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Q: Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are…

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Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

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Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

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.