Consider the letters in the word MICROPHONE and the number of rearrangements in the word PRODUCTION. Without calculating, will one word have a larger number of possible distinguishable permutations than the other? If so, which word? Explain your reasoning but do not calculate anything.

Q: Compare and contrast permutations and combinations. Refer to as many differences and similarities as…

A: Permutation -Any possible ways in which a set or number of things can be ordered or arranged, is…

Q: Find the number of distinguishable arrangements of the word "EMPATHY".Your answer is :

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Q: Find the number of permutations of the letters in the word. ALABAMA

A: ALABAMA has 4 A's and 1 each of L, B, M. So, there are a total of 7 letters put of which 4 (A's) are…

Q: How many different arrangements are there for the 10 letters of the name FLORDELIZA?

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Q: How many words can we make using the letters of the word ALFALFA?

A: Given word is ALFALFALetter 'A' is repeated =3 timesLetter 'L' is repeated=2 timesLetter ' F' is…

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

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Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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Q: How many ways are there to arrange the letters in the word COLORADO? Number

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Q: any permutations of the letters can be made from the word COCONUT? (Don't Hand writing in solution

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Q: A speech class teacher is going to rank nine different speeches.  In how many different ways could…

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Q: In how many ways can the letters in the word TENNESSEE be arranged?

A: Introduction: The term permutation refers to a mathematical calculation of the number of ways a…

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

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Q: How many distinct arrangements of the letters in the ( fictitious) word FOOTBALLLERS are possible?

A: Given information- We have given the word FOOTBALLLERS, we have to find the no. of arrangements of…

Q: How many different arrangements of the letters in the word "number" can be made?

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Q: how many ways can the letters in the word "WISCONSIN" be arranged? 69,620 38,572 362,880 45,360

A: According to the provided information, The word is WISCONSIN, the length of the word is 9.

Q: Determine the number of four-word permutations of the words: travertine, model, sterling, ambush,…

A: This is a permutation combination problem so I used Theorems of permutation and simple combination…

Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

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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 different words (including nonsense words) can you make by rearranging the letters of the…

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Q: How many ways can you rearrange the letters in the word "Humdinger"

A: Given word is "HUMDINGER"

Q: How many different ways can you rearrange the letters in the word "Voodoo"?

A: We have given that the word “Voodoo”.

Q: How many ways can you reorder the eggs in a carton of one dozen eggs? (Enter your answer as a whole…

A: We have to find this How many ways can you reorder the eggs in a carton of one dozen eggs.

Q: HURONTARIO be arranged

A: Total number of letters=10 Repeated letters:R=repeated twice, i.e, 2O=repeated twice, i.e, 2

Q: How many different ways can the letters of ​"knitting​" be​ arranged?

A: We have given the word "knitting" Total number of letters = 8 Repeated letters- No. of n's = 2 No.…

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: How many different arrangements could be made with the letters in the name YEKRR TS ROGEEG

A: Total  number of letters in the name (YEKRR TS ROGEEG) are = 13

Q: How many different arrangements can b

A: Given the word          "SIPNAYAN"

Q: How many different 5-letter arrangements can be formed the word APPLE?

A: The APPLE  word conatins 5 letters , 1A,2P,1L and 1E. we have to find number of arrangements, we…

Q: How many words can be formed from the letters of the word: UNITED

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Q: The number of arrangement of letters of the word ILLUSION is 40320. False true

A: The word ILLUSION contains 8 letters in which 2-I's, 2-L's, 1-U, 1-S, 1-O, 1-N. The number of…

Q: how many ways are there to arrange the letters in the word BAGGAGE.

A: The objective of this question is to find out the number of ways the letters in the word 'BAGGAGE'…

Q: How many ways can you arrange the letters of the word COMBINATIONS? =

A: The number of ways for arrangement of word “COMBINATIONS” can be calculated by method of…

Q: How many ways can 6 dvds be arranged on a shelf?

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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.