There are 6 adult drivers to each teenage driver in a city. If there are 14,976 adult drivers in the city, how many teenage drivers are there? There are __ teenage drivers in the city.

Q: How many distinguishable permutation in the word VANQUISH?

A: Since all 8 letters in VANQUISH are distinct.There are 8 choices for the first letter. Once a first…

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: In how many ways can 3 men and 4 women be seated on a bench if the women are to be seated together?…

A: If 4 woman seated on a bench together then the first woman can seat on the bench in the first,…

Q: How many distinct scrambles (re-arrangements of the letters) of the word moximum. are there?

A: See the detailed solution below.

Q: A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of…

A:

Q: In how many ways can you arrange 4 different Mathematics books, 3 of different Science books, and 2…

A: in how many ways can you arrange 4 different mathematics books, 3 of different science book,and 2…

Q: he word "Knickknack" if "nack" goes together in a

A: Given: Total number of letters = 10  Number of letters to be together = 4 Number of 'k' apart from…

Q: if there are 11,875,000 five-letter passphrases that use the letter "M" at most twice, how many…

A: Given that there are 11,875,000 five letter passphrases hat use the letter M at most twice. The…

Q: The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is

A:

Q: How many different license plates are available if each plates contains a sequence of three letters…

A: There are 26 letters (A to Z) and 10 digits (0 to 9). Given that, the license plates consist of 3…

Q: How many 7-character license plates are possible if the first three characters must be letters, the…

A: Given,no. of letters= 26no. of digits from 0-9= 10

Q: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two 'A’s do not…

A:

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

A:

Q: (a) How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7, if each digit…

A:

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different codes…

A: 6 letter A,B,C,D,E,F We have to make 5 digit code without repetition

Q: In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A:

Q: How many months, weeks, and days are there between May 4, 2014 and August 23, 2014?

A: given the date from May 4 2014 and August 23 2014 we need to calculate the number of months , weeks…

Q: How many three-digit numbers can be formed under the following condition? The number is at least…

A: We have to find three - digit numbers that can be formed under condition  The number is at least 400…

Q: In a senior class at Rancho Coati High School, there were 25 football players and 16 basketball…

A: Use a Venn-diagram to explain the problem.

Q: In how many ways can ten different keys be arranged in a key chain if there are two sets of three…

A: here given,  there are total 10 keys arranged in key chain

Q: In how many ways can we arrange six letters of the word SWITZERLAND that starts with letter S? O…

A: Answer : - In how many ways can we arrange six letters of the word  SWITZERLAND  that starts with…

Q: 77 female yes 64 female no 80 male yes 74 male no

A: Solution: From the given information, the female yes is 77, female no is 64, male yes is 80 and male…

Q: How many integers between 1000 and 9999 inclusive are not divisible by 5?

A: The number of integers from 1 and 9999 which are divisible by 5 is = [9999 ÷ 5] = [1,999.8] = 1999…

Q: Eight runners are hoping to take part in a race, but the track has only six lanes. In how many ways…

A: Given : number of persons(n) = 8number of lanes (x) = 6

Q: How many different “4 of a kinds is there in Yahtzee? How many different Yahtzee’s are there? How…

A: Yahtzee is a dice game based on poker. The object of yahtzee is for each player to roll dice and…

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: We have a computer system that allows user IDs which are six characters long,And, there is only…

Q: In how many ways can the digits in the number 2,767,676 be arranged? There are ways to arrange the…

A: In this number, there are 1 two. 3 sevens 3 six. And total (1+3+3)=7 digits

Q: How many different ways can a manager and supervisor select from an IT company branch in Manila if…

A: Query- How many different ways can a manager and supervisor select from an IT company branch in…

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: ! Please use permutation notation for the question below: In how many ways can five students be…

A: Solution

Q: ny three-letter "words" can be made from 6 different letters "FGHIJK" if... a) Repetition of…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: How many three-letter code words can be constructed from the first nine letters of the Greek…

A: 60480 three letter code

Q: In how many distinct ways can the letters of the word “YELLOWWOOD” be rearranged? 50,400 151,200…

A: To arrange a word in distinct ways, we have to use permutations.

Q: How many possible iPhone lock combinations are there between all 6-digit and 4-digit pass codes…

A: Use concept of combinations, as follows: 4 digit passcode has 4 places for digits Each of them can…

Q: How many different four​-letter ​"words" can be formed from the alphabet ABCD

A:

Q: San Jac must assign a new employee a 7 digit phone number, but the first three digits must be 526.…

A: In 7 digit phone number 3 digits are given. So (7-3)=4 digits we have to fill. There are 10 numbers…

Q: How many integers in the range 1 to 100,000 inclusive are divisible by 6, 15 or 21?

A:

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: In how many different ways 'CORPORATION' be arranged? can the letters of the word

A:

Q: write the formula for how to find a tandard divisor?

A:

Q: How many permutations can be made from the word CONVOCATION, such that all vowels must come…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: How many 4​-letter code symbols can be formed from the letters from the word PODS without​…

A: Given words is"PODS"No.of letters in word "PODS" = 4

Q: 9 athletes are to take part in a race. In how many ways can the first 5 places be filled?

A: Given: 9 athletes are to take part in a race To find the number of ways the first 5 places are…

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A:

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…