1. In how many ways can four consonants be chosen from the six letters in the word DRAGON?

Q: In how many ways can the letters of the word HORRAR be arranged if vowels are together?

A: Given information- We have given the letters of the word- HORRAR We have to find a number of ways to…

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

Q: Suppose we want to choose 5 letters, without replacement, from 14  distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

Q: In how many different ways can the letters in "restlessness" be arranged?

A: From the provided information, The total letters in word “restlessness” are 12. The letters are…

Q: In how many ways can 10 distinct books be divided among three students if the first student gets…

A: Solution: From the given information, there are 10 distinct books divided among 3 students. First…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

A:

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: Suppose we want to choose 5 letters, without replacement, from 18 distinct letters. (a) How many…

A: (a)   Determine the number of ways that the 5 letters can be selected from 18 distinct letters…

Q: How many distinct ways can the eleven letters in the word "TALLAHASSEE" be arrange

A:

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: How many distinct 9-letter words starting with “i” can be formed from the word “committee”?

A:

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: There are 42 runners in a race. How many ways can the runners finish first, second, and third? There…

A: there are 42 runners in a rece we have to find out the no. of ways can finish first, second and…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pairs of pants, and 3…

A: We have given that,  Shirts = 8 , pairs of pants  = 10 and pairs of socks = 6

Q: 2. In how many ways can you arranged the word SLEEPLESSNESS?

A: Given: SLEEPLESSNESS we want to find how many ways can you arranged the word SLEEPLESSNESS

Q: In how many ways can 15 different pizza toppings be chosen from 22 available toppings? There are…

A: No. of available toppings=22No. of pizza toppings to be chosen=15

Q: Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7…

A: Hi, thanks for posting the question. Since there is more than one question posted. We will answer…

Q: a round table?

A: It is given that 11 people have to sit in a round table. Using the circular permutation property, If…

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

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: In how many ways can 17 different pizza toppings be chosen from 24 available toppings? ways to…

A: choose 17 different pizza toppings from 24 available toppings. no. of ways to choose = ?

Q: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Q: In how many ways can we arrange the letters in the word T

A: Given word is "TOOTH". The letters are T, O, O, T, H. The number of letters is 5. And the letter "O"…

Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: In how many different ways can the letters of the word ‘BLOATING’ be arranged?

A: From the provided information,The word ‘BLOATING’ has 8 different letters.

Q: In how many ways can 8 different pizza toppings be chosen from 14 available toppings? There are ways…

A:

Q: In how many ways can 3 letters be put in five boxes

A: Number of boxes available = 5 Number of letters = 3 Hence, the number of ways in x letters can be…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…