Four letters are selected from the word SECTIONAL (i) How many different selections are possible? (ii) How many of these selections contain at least one vowel?

Q: How many arrangements begin with the letter M from math power

A: The total number of letters in MATHPOWER is 9 letters.  It is given that the first letter has to be…

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

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

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Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: 2 students is to be chosen from a 32-member class to represent the class on the student council. How…

A: Permutation: The procedures of permutation and combination are used to count the number of…

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

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Q: In how many ways can first, second, and third prizes be awarded in a contest with 390 contestants?…

A: Find the number of ways first, second, and third prizes be awarded in a contest with 390…

Q: A group of 4 students is to be chosen from a 30-member class to represent the class on the student…

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

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Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

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Q: How would I solve the following problem: Of five letters (A, B, C, D, and E), two letters are to be…

A: Ans#- Given,           Five letters (A, B, C, D, and E), two letters              are to be selected…

Q: How many different ways are there to order a three-flavor hot fudge sundae, given that there are…

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Q: low many ways are there to select 4 players from 10 members to represent the team in a tournament?…

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Q: A team is being formed that includes five different people. There are five different positions on…

A: five different people in a team.  there are five different positions on the team.  no. of ways to…

Q: sub: discrete How many ways can a group of five people be selected from nine people?

A: There are total 9 people. To Find: Number of ways that we can select a group of five people from…

Q: In a writing course, the professor surveyed the students to see the literature genres they like. The…

A: Given a venn diagram which shows the surveyed the students to see the literature genres they like.

Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: How many ways are there to choose an arbitrary number of students (including the possibility of…

A: by using C(n,r)=n!(r!(n−r)!)

Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many…

A: Permutation and combination are the techniques for estimating the number of ways of selecting the…

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: 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: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: How many different arrangements can b

A: Given the word          "SIPNAYAN"

Q: From a group of  13  people how many ways we can select a   (a) 3 Supervisor (b) 7 Technicians…

A: Given: Total number of people, n=13 It is known that the formula to find different combinations is,…

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop

A: The given information is that there are 21 varieties of donuts at a donut shop, and we want to…

Q: In how many ways can first, second, and third prizes be awarded in a contest with 630 contestants?

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