Suppose you are asked to list, in order of preference, the three best movies you have seen this year. If you saw 20 movies during the year, in how many ways can the three best be chosen and ranked? We are currently working on Permutations and Combinations.

Q: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

A: Given ,  Word - MISSISSIPPI number of letter in word MISSISSIPPI = 11

Q: How many different 3-letter permutations can be formed using the letters in the word "SCARED"…

A: Given  Word is SCARED and we need to determine the no of 3 letter permutations are formed using the…

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

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Q: How many permutation can we make if we have 12 elements and use 4 at a time?

A: Given data:   The total numbers of elements are n=12. The numbers of elements used at a time are…

Q: Suppose there are four voters: A with 11 votes, B with 6 votes, C with 7 votes, and D with 4 votes.…

A: Given:  there is a four voters; A with 11 votes , B with 6 votes, C with 7 votes, and D with 4…

Q: Your bowl contains 7 red balls, and 5 blue balls, and you draw 4 balls. In how many ways can the…

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Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: A sari-sari store owner wants to display 20 pieces of different canned goods in a row on a shelf.…

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Q: How many distinct permutations can be formed using the letters of the word "CHARACTER"? There are…

A: We want to find number of distinct permutation of word CHARACTER.

Q: How many combinations of names were possible for those three babies?

A: Here given  Parents are having triplet babies and have put 5 unique name cards in a bowl. When the…

Q: ow many distinct permutations can be made from the letters of the word INDEPENDENCE?

A: We know, if out of n things k1 are of first type,k2 are of second type...and so on Such…

Q: Your bowl contains 5 red balls, and 8 blue balls, and you draw 4 balls. In how many ways can the…

A: Consider the given statements,Determine in how  many ways can the selection be made so that at least…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: In a certain general assembly, three major prizes are at stake. In how many ways can the first,…

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Q: How many distinct permutations can be formed using the letters of the word "ROBBERIES"? There are…

A: We want to find total number of permutations of given word.

Q: A person can order a new car with a choice of 8 possible​ colors, with or without air​…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: . a. How many distinct permutations can be made from the letters of the word “columns”?  b. How…

A: Given Word is "COLUMNS"No. of letters in word "COLUMNS" = 7

Q: in the word COPYRIGHTED, how many ways can you select three random letters?

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

Q: how many three-letter permutations can be formed from the letters in the word pirate? Show your…

A: To find how many three-letter permutations can be formed from the letters in the word pirate.

Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: How many permutations are there of the letters in the word 'PLANTS', if all the letters are used…

A: 6) The word 'PLANTS' contains 6 letters.

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: Since multiple parts given, part a and b are answered. Please repost for more help.

Q: What is the main difference between a situation in which the use of the permutations rule is…

A: The major and main difference in the use of permutation rule and the combination rule is ordering.…

Q: In phase 2 of the San Diego County Fair, the 20 amateur artist are put into groups of 4 students to…

A: Number of unique groups of 4 artist and correct options from the list are as following.

Q: There are 100 people who are in the neighboorhood watch.  30 of them are between the ages 30-39, 20…

A: Combination: A combination is a selection of objects where order is not important. If n is total…

Q: An election balot asks voters to select six city commissioners from a group of twelve candidates In…

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Q: How many distinct permutations can be made from the letters of the word "COMBINATORICS" ?

A: Given word is: "COMBINATORICS" Total number of letters are 13. Multiplicity of letter C is 2.…

Q: Suppose you play a "daily number" lottery game in which three digits from 1-9 are selected at…

A: Given,no.of digits from 1-9 =9

Q: How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters…

A: question:

Q: An election ballot asks voters to select three city commissioners from a group of twelve candidates.…

A: Answer is following-

Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: To calculate the no. of permutations of three items can be selected from a group of six and also…

Q: How many permutations are there of the letters in the word "PEPPERMINT"?

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Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: when is an arrangement a permutation and when is an arrangement a combination?

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Q: Determine whether the situation involves a permutation or a combination. Encircle your answer. 1.…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Find the number of ways of selecting exactly one of the two best applicants in a selection of two…

A: Given problem Given that

Q: (a) How many 4-permutations are there of a set of six objects? (b) How many 2-permutations are there…

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Q: (a) How many 4-permutations are there of a set of five objects? (b) How many 2-permutations are…

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Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

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Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

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: 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: How many permutations doesaa combination lock have if each combination has 3 numbers, no two numbers…

A: Permutation and combination : Permutation and combination are two distinct methods of representing a…

Q: Answer the following question by using a combination or a permutation. how many different ways can 3…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: How many different permutations can be made from the letters in the word hippopotamus?     Group…

A: Here we use the rule of combination.

Q: How many distinct permutations can be formed from all the letters of the word committee?

A: Given: The word is COMMITTEE. The number of C's in the given word is 1. The number of O's in the…

Q: How many permutations are there of the letters in the word 'CLOTH', if all the letters are used…

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Q: How many permutations are there of the letters in theword(a) “great”;(b) “greet”?

A: Here we have to find the permutation for  a) Great b) Greet       The formula for permutation is:…

Q: In the BS Lottery players choose 6 numbers out of 30. They win if they choose the same 6 numbers as…

A:

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.