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: 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 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 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: 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…

A:

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: You can make different burgers. (Type a whole number. Simplify your answer.)

A: You would like to "build-your-own-burger" at a fast-food restaurant. There are seven different…

Q: How many arrangements can be made with the letters of "common"

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Q: What is the number of distinct arrangements of all the letters in the word CELLPHONE

A: Useful formula: n!=n*(n-1)*(n-2)*(n-3)*..........*3*2*1

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: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

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

A:

Q: How much can we arrange 4 different letters after choosing them from this  word CAMBRIDGE

A: We have to find given no .of ways..

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

A:

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: The number of possible ways to arrange the letters of the word Committee is 45460. true Error

A: Given that : The word " COMMITTEE " We find the total possible ways to arrange this letter.  Here we…

Q: A search using the web search engine BingTM for "asteroid" yielded 25.1 million web sites containing…

A:

Q: ind the number of permutations of the letters in the word TENNESSEE

A:

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: Determine the number of four-word permutations of the word: travertine

A: From a set of n objects, r objects can be chosen in Crn ways, where Crn=n!r!n-r!. Also n objects can…

Q: An anagram of a word is just a rearrangement of its letters. How many different anagrams of…

A: This problem is solved using permutation. The number of possible rearrangements or permutations of n…

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 different 5-letter words can be made using all the letters in the word FELICIDAD?

A: The word "FELICIDAD" has 9 letters, but for a 5-letter word, choose 5 letters out of these 9. This…

Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5.…

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in…

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: A search using the web search engine Bing for "asteroid" yielded 26.0 million web sites containing…

A: Let  A  represent the set of asteroid yeilded C  represent the set of comet yeilded

Q: How many different 8-letter words can be formed with the word ARKANSAS?

A:

Q: How many can we rearranged the word POSSESSIVENESS?

A: Given information: The word "POSSESSIVENESS" is provided. It is required to obtain the number of…

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.