1) Find the number of unique ways that the letters in the word can be arranged:...

1) Find the number of unique ways that the letters in the word can be arranged: KERFUFFLE

2) A survey of commuters found that 313 owned a motorcycle, 232 owned a car, 269 owned a moped, 98 owned a car and a moped, 57 owned only a car, 104 owned a motorcycle and moped but not a car, 69 owned all three, and 64 owned none. What proportion of people surveyed owned only a moped? Leave your answer as an unsimplified fraction of integers.

3) The waiter brings a platter of 6 veggie burritos, 4 spicy burritos, and 3 cheese burritos to your table. How many ways could you create a plate of 6 burritos in the following ways? a) Selecting 2 cheese and 4 veggie burritos:

Expert Solution

milcah answered 2 years ago

a) How many ways can the letters of the word COMPUTER be arranged in a row?...

a) How many ways can the letters of the word COMPUTER be arranged in a row? b) How many ways can the letters of the word COMPUTER be arranged in a row if O and M must remain next to each other as either OM or MO? c) How many permutations of the letters COMPUTER contain P, U and T (all three of them) not to be together in any order?

55) A) In how many dierent ways can the letters of the word 'JUDGE' be arranged...

55) A) In how many dierent ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together? B) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated? C) In how many ways can 10 engineers and 4 doctors be seated at a round table without any restriction? D) In how many ways can...

The letters of the word product are arranged in all possible ways. If an arrangement is...

The letters of the word product are arranged in all possible ways. If an arrangement is picked at random. What is the probability that the arrangement will start with p and ends with a vowel?

2)The letters of the word EXCELLENT are arranged in a random order. Find the probability that:...

2)The letters of the word EXCELLENT are arranged in a random order. Find the probability that: a. the same letter occurs at each end. b. X,C, and N occur together, in any order. c. all 9 letters occur in alphabetical order.

Question # 4. (a) Determine the number of ways to rearrange the letters in the word...

Question # 4. (a) Determine the number of ways to rearrange the letters in the word QUESTION. (b) Determine the number of ways to rearrange the letters in the word BOOKKEEPERS. (c) Determine the number of ways to rearrange the letters in the word SUCCESSFULLY, assuming that all the Ss are kept together, and the E and F are not side-by-side

Permutation and Combination 1. How many ways can the letters A B C be arranged, using...

Permutation and Combination 1. How many ways can the letters A B C be arranged, using each letter only once? 2. A code has 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once? 3. In how many ways can three students be selected for a project from a group of fifteen students? 4. Richmond Machine Shop has eight machines but only three spaces available...

If all permutations of the letters of the word "BEFORE" are arranged in the order as...

If all permutations of the letters of the word "BEFORE" are arranged in the order as in a dictionary. What is the 32 word?

How many ways can you arrange the letters of the word “COURSE” if: The first and...

How many ways can you arrange the letters of the word “COURSE” if: The first and last letters must be a vowel.

A machine prints a word and the number of letters in this word is a Poisson...

A machine prints a word and the number of letters in this word is a Poisson distributed random variable with parameter λ (so it could possibly have zero letters). However, each letter in the word is printed incorrectly with probability 2/3 independently of all other letters. Compute the expectation and the variance of the number of incorrect letters in the word that the machine prints.

7. How many different ways can the letters in “COUNT” be arranged? 8. How many different...

7. How many different ways can the letters in “COUNT” be arranged? 8. How many different ways can the letters in “PROBABILITY” be arranged? 9. A pizza restaurant offers 15 different toppings, but only allows customers to select up to four different toppings for each pizza. How many different ways are there for customers to choose up to four toppings for a pizza? 10. A youth soccer team consists of 12 players. When they have games, they play simultaneously on...

Question