ne people on a basketball team show up for a game a) How many ways are there to choose 5 players to take the field? b) How many ways are there to assign 5 positions by selecting from the nine people who show up?

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: In 20 P9 how many choices are there for the second batter if the total number on the team is 20?…

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Q: Consider the five letters a,b,c,d,e. In how many distinct ways can three letters be selected and…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

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Q: The number of ways a team of 2 players can be chosen out of 13 players is O 156 O 13 182 O 169 O 78

A: Number of ways a team of 2 players can be chosen out of 13 players can be calculated as:

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A: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

Q: Assume that the student has a cup with 9 writing implements: 5 pencils, 3 ball point pens, and 1…

A: Given data: *There are 9 writing implements out of which 5 are pencils, 3 are ball point pens and 1…

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: At an assembly, 8 out of the first 20 students who entered the gym were wearing grey shoes. Based on…

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Q: In how many ways can you seat 12 people at two round tables with 6 places each? Think of possible…

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Q: From among the 36 teachers in a college, one principal, one vice-principal and the teacher-in-charge…

A: It is given that there are 36 teachers in a college. We have to appoint one principal, one…

Q: Fifty women were assigned to receive an iron-fortified breakfast cereal with a banana, and 50 women…

A: Please see handwritten solution

Q: b. In how many different ways can the letters of the word “Corona" be arranged such that the vowels…

A: b. The given word is “Corona”.

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: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

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Q: In a party, ten chairs are positioned around a circular table. In how many ways can ten people be…

A: Let, There are ten persons 1,2,3,4,5,6,7,8,9,10. So, total possible seating arrangement in the round…

Q: a) How many four-letter words may exist in this language? b) How many four-letter words can be…

A: “Profanities” in a rudimentary language whose alphabet consists of the five letters A, B, C, D, and…

Q: In how many ways can 12 different books be distributed among four chi dren so that (a) each child…

A: Given: Number of books = 12 Number of children = 4

Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

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Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: (b) If the order of the choices is not taken into consideration, how many ways can this be done? (a)…

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Q: (a) In how many ways could you arrange eight books on a shelf? (b) Would it be feasible to list the…

A: We have to find corrcet answer...

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

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

Q: From a group of 10 men and 12 women, a 10-member committee is formed. In how ways can the committee…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: Assume that the student has a cup with 9 writing implements: 4 pencils, 3 ball point pens, and 2…

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

Q: How many different arrangements are there for the eight letters {a, c, f, g, i, t, w, x} ? a. How…

A: a.  since we know the 1st letter is t.  The second letter in the permutation can be choosen in 7…

Q: A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done…

A: Given a committee of 5 persons is to be formed from 6 men and 4 women

Q: A student may answer any six of ten questions on an examination. (a) In how many ways can six…

A: Given:  A student may answer any six of ten questions on an examination.To find:a)The number of ways…

Q: one course only by using Venn diagram.

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Q: Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: 1) According to the combination rule, if r distinct items are to be chosen from n items without…

Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…

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Q: (5) A survey was done on a college campus to determine how many students owned a cell phone. Of the…

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Q: In how many ways can four aces be drawn from a deck of cards? (Order is not important.) | way(s)

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Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: 14 players for a softball team show up for a game: (a) How many ways are there to choose 10 players…

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Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: In how many ways can 5 students line up for a registration?

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

Q: A tablet, a yo-yo, and a box of chocolates will be given to 3 randomly picked people out of 25 who…

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Q: b. In how many different ways can the letters of the word “Karachi" be arranged such that the vowels…

A: From the given information, b) The letter of word =”Karachi” Vowels in the above letter = {a, a, i}…

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Refer to a bag containing 20 balls-six red, six green, and eight purple. In how many ways can we…

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Q: (a) In how many ways can 13 cards be selected from a deck? (b) In how many ways can 13 cards be…

A: There are 52 cards in a deck we need to select 13 from a deck of 52 cards 13 cards can be selected…

Q: Assume that the student has a cup with 10 writing implements: 5 pencils, 4 ball point pens, and one…

A: Assuming that the student has a cup with 10 writing implements: 5 pencils, 4 ball point pens, and…

Q: How many 3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

A: Given  3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

Q: At a college library exhibition of faculty publications, three mathematics books, four social…

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Q: In how many ways can six medical technology students be seated in a round table if two of the six…

A: The number of ways n people can arrange in a seating order is (n!).

Q: In how many ways can a group of 5 students be picked from a class of 14 students to represent the…

A: There are total 14 students.  We will pick a group of 5 students from them.   Since it is a group,…

Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

A: Given that, 5 people are available in painting the exterior of residential buildings.