How many different license plates can be made if each is to display 3 numbers and 3 letters?

Q: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM"

A: Combination : Combination is an way of arranging the possible objects from a set of objects . Where…

Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: How many license plates can be made using either three digits followed by three uppercase English…

A: 22,464,000 license plates can be made using either three digits followed by three uppercase English…

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

A:

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

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: How many different ways can 5 calculators be arranged in the cabinet from a group of 15?

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

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A:

Q: If 1/2 of a number, 1/3 of the number, 1/4 of the number, and 2/7 of the number are added together,…

A:

Q: You have an ID number containing from 9 digits. How many IDs get the 1. number "6" as their second…

A:

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A:

Q: How many Licence plates of two letters followed by three digits can be made if the letters and…

A: Total no. of letter from A-Z is =26Total no. of digits from 0-9=10

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: From 1, 3, 5, 7, and 9 how many 4-digit numbers can be formed? Note: each digit can be used only…

A: Given ,5 numbers 1,3,5,7,9 respectively. We need to calculate how many four digits number can be…

Q: You have an ID number containing from 9 digits. How many IDs get the number “6” as their second or…

A: The set A or B is represented as A∪B . The set A and B is represented as A∩B .

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: A casting director wishes to find one male and one female to cast in his plate if he plans to…

A: Given Male=9 Female=14

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 5, and 6, if each digit can be…

A:

Q: How many different 4-letter words can be formed from the letters of BUSTLED?

A: The given word is BUSTLED

Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

A:

Q: A license plate is to consist of 2 letters followed by 5 digits. Determine the number of different…

A: We have given that, a license plate consist of 2 letters followed by 5 digits. We have to find no.…

Q: How many 4 letter words can be created using the letters in the word COMPLICATED?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can…

A: Given: Number of books = 5

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

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: How many baseball teams of 9 members can be formed from 14 players?

A:

Q: If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT…

A: Given, 1%  of a shipment of 2000 light bulbs is defective i.e, number of defective bulbs = 2000 *…

Q: How many license plate containing two letter followed by three digit can be formed 2 If the letters…

A: License plate made up of 5 alphanumeric in which first two position taken by letters then last three…

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: How many 12 digit numbers can be formed from 4 ones, 2 twos, 3 fives, and 1 six and 2 nines?

A: We have given that  1 = 4 times 2 = 2 times 5 = 3 times 6 = once9 = 2 times

Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

A: Solution: Given data 16 = new Teachers 4 = schools To find: 1.How many division are possible 2.If…

Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

A: given digits:  0 2 4 6 8 to find :  how many number greater than 60, 000 can be formed also…

Q: How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

A:

Q: How many even three-digit numbers can be formed from the digits 1,2,3,5,6,8 and 9 if each digit can…

A:

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: How many automobile license plates can be made if each plate contains two letter followed by 3…

A: Given: Number of digits in a license plate = 3 Number of letters in a license plate = 2

Q: You have an ID number containing from 8 digits. How many IDs get the number “5" as their second or…

A: digits are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9   (total 10)  so for ID containing 8 dugites we will have…

Q: How many ways can 6 joggers line up single-file to get a drink from a water fountain?

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

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

A:

Q: When you get to college you will be assigned a new Student Identification Number. If this ID is 5…

A: The number of ways to select r objects out of n is given by the formula nCr=n!r!(n-r)!. Therefore,…

Q: How many different ways can a visiting nurse visit 10 patients if she wants to visit them all in one…

A: A visiting nurse can visit 10 patients in 10! ways in one day.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.