4. In how many ways can you form a "word" (any sequence of letters, where each of the given letters must appear exactly once) from the letters: (a) method (b) combinactorial 1
Q: Suppose we want to choose 5 letters, without replacement, from 10 distinct letters.(If…
A: The objective of this question is to find out the number of ways to choose 5 letters from 10…
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A: We have given that the team is formed of 25 members and the prizes be awarded. Permutation…
Q: Suppose we want to choose 6 objects, without replacement, from 15 distinct objects.(If…
A: The objective of the question is to find out the number of ways to choose 6 objects from 15 distinct…
Q: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters. (a) How many…
A: Number of choosen letters (r) = 6 Total number of letters (n) = 8 Consider a situation where r…
Q: A manager wants to award prizes for 1st, 2nd and 3rd to his team members according to number of new…
A:
Q: 7. A company is forming passcodes for its employees. Each code will consist of 4 letters, with no…
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Q: (i) How many 15 letter “words” can be produced by rearranging the letters of the word…
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Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (i) Number of…
A: Solution
Q: Suppose we want to choose 5 letters, without replacement, from 17 distinct letters. (a) How many…
A: Solution:In this problem we want to choose letters, without replacement, from distinct letters.(a)…
Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (If necessary,…
A: Given,Total no.of letters=18
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A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…
Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…
A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…
Q: How many Combinations 3-letter Possible from letters A, E, I, O, and 4?
A: Here the given letters are , A,E,I,O,U So, total number of letters , n=5 Using formula ,…
Q: There are 15 members in a club: (a) How many ways are there to choose 10 members to form a…
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Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (ii) Number of…
A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…
Q: Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (If necessary,…
A: given data, we want to choose 6 leteers, without replacement ,from 15 distinct letterswe have to…
Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…
A: Given that the baseball manager has 12 players on his team but only nine players can play on the…
Q: If strings of 3 letters are formed using the letters R, S, T, U, V, W how many such words are…
A: The objective of this question is to calculate the number of possible 3-letter words that can be…
Q: Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and…
A: The objective of this question is to find out the number of ways to choose 3 letters from 4 distinct…
Q: Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk,…
A: a)There is total 5 objects.
Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters.(If…
A: The objective of this question is to calculate the number of ways to choose 4 letters from 18…
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A:
Q: (a) A chemist at a pharmaceutical company wants to test the quality of a new batch of microscopes.…
A: The scenarios that best describes the required type of samples, must be determined.
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A: Using permutations and combinations we can solve for the total number of ways in which a group of 6…
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Q: The access code for a car security system consists of four digits. Each digit can be 0 to 9, How…
A: Givena car security system consists of 4 digits each digit can be 0 to 9
Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…
A: given data, we want to choose 2 letters, ,without replacement letters A,B,C,D and Ewe have to…
Q: Peter must select 2 electives from a group of 6 courses. (a) In how many ways can Peter do this?…
A: The answer provided below has been developed in a clear step by step manner.
Q: Suppose we want to choose 6 objects, without replacement, from 8 distinct objects.(If…
A: The objective of this question is to find out the number of ways to choose 6 objects from 8 distinct…
Q: Prizes are to be given to different people in a group of 18. In how many ways can a first prize, a…
A: Use the given information.
Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…
A: Given we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and…
Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…
A: Given: There are 7 letters A, B, C, D, E, F, G
Q: Suppose we want to choose 7 objects, without replacement, from 11 distinct objects.(If…
A: The objective of this question is to find out the number of ways to choose 7 objects from 11…
Q: A shelf'contains 7 Kannada books, 4 Hindi books and 5 English books. In how Example 25. many ways…
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Q: (4) In how many ways can 4 boys and 4 girls sit in a row if the boys and girls are each to sit…
A: (4) The numbers of ways can 4 boys and 4 girls sit in a row if the boys and girls are each to sit…
Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…
A: We know that we can select r objects from n objects in Crn ways. Where,…
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- You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11,4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7,3) (H) C(11,4)+ C(7,3) O A OB OC O E O F OG H.Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people, includinga president, a vice-president, and a secretary.(a) How many different ways do you have to pick a president, vice-president and secretary if you need atleast 1 men and 1 women? Does the order matter? Why?(b) How many different committees can you form with at least 3 women? Does the order matter? Why?Your professor has 10 advanced statistics texts and 8 advanced calculus texts. (a) How many ways can the 10 statistics texts be arranged on the top shelf?(b) How many ways can the 8 calculus texts be arranged on the bottom shelf?(c) How many ways can the 18 texts be arranged together on a single shelf, with the statistics texts grouped together and the calculus texts grouped together?
- An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?The student body of 135 students wants to elect two representatives. This is an example of [Select] n = [Select] r= [Select] There are [Select] ways to choose two representatives from the student body.How many ways can one select a subset of 10 elements from {1, 2, 3, . . . , 1000} so that the biggest and smallest elements selected differ by at most 100? Justify your answer.
- Suppose we want to choose 7 objects, without replacement, from 11 distinct objects.(If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is taken into consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?How many different words can be formed from the letters of the following words:(a) “solar”.(b) How many 3 letter words can be formed from the letter of the word “pencil”?(c) How many of the words from (b) contain the letter “l”?Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices does not matter? ☐ (b) How many ways can this be done, if the order of the choices matters?
- Fill in each blank and underline what to put in each box. Do not skip any blanks. if you do i will downvote.A classroom has 20 seats and 18 students. (a) How many different ways are there to select any 2seats from the 20 available? (b) How many ways are there for the 18 students to occupy the 18seats that remain after 2 are selected and set aside? (c) How many total ways are there for the 20students to occupy the 18 seats?