A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 6-key keypad. Repetition of digits is allowed. What is the number of possible codes? The number of possible codes is (Type an integer or fraction. Simplify your answer.)

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

Q: If n is a counting number, bn, read_______ ,indicates that there are n factors of b. The number b is…

A: bn reads b to the power n. b is called the base and n called the exponent.

Q: The 25 staff members of an office decide to hold a Kris Kringle to celebrate the holidays and draw…

A: Given Information: There are 25 staff members out of which 4 staff members draw their own names.

Q: Find the number of way to arrange the letters in the word ESTRENGENT. if identical letters must be…

A:

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

Q: ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER. How many posible combinations of 7 elements van be…

A:

Q: To use an automated teller machine at a certain​ bank, you must enter a 3​-digit ​code, using the…

A: Given information:The number of possible 3-digit code has to be computed where repetition of digits…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: The number of arrangements of the letters of the word WASHINGTON, if the ASH must be together in any…

A: In this question we have to find Arrangement of word WASHINGTON and ASH always comes together.

Q: Find, with justification, the last digit of 8^8^8^8.

A: The given question is solved below.

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: Using the letters in the word “SQUARE”, How many 6-letter arrangements, with no repetitions, are…

A: In the letter SQUARE, there are 3 vowels. A, U and E   Given that the first letter is a vowel. So we…

Q: 10 officials were asked to sit in a round table. In How many ways can they be seated?

A: given  10 officials were asked to sit in a round table

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A:

Q: Most ATMS require that you enter a four-digit code, using the digits 0 to 9. How many four-digit…

A: We have to find no. Of ways...

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: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: There are 13 female board members and 17 male board members. How many ways are there to make a…

Q: Given any set of four integers, must there be two that have the same remainder when divided by 3?…

A:

Q: One company’s ID cards consist of 5 letters followed by 2 digits. How many cards can be made if…

A: Consider that there are 26 letters, while the company’s id card consists of 5 letters followed by 2…

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: The smallest prime number is: (3 (2. 1.

A: A prime number is a whole number greater than 1, which is divisible by 1 and itself only.

Q: In How many possible ways can you arrange 5 kilos of rambutan, 2 kilos of lanzones, 4 kilos of…

A: Given data is : How many possible ways can you arrange 5 kilos of Rambutan, 2 kilos of Lanzones, 4…

Q: There are total ways to select a first-prize winner, a second-prize winner, and a third-prize winner…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: Find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi…

A: Here there are 9 different computer games that can be shared between Wainah (W), Jingyi (J) and Hebe…

Q: If Mahmood has 24 cars in his company and every year he adds 6 cars, then how many cars will he own…

A: 22) If Mahmood has 24 cars in his company and every year he adds 6 cars, then how many cars will he…

Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A:

Q: Out of the 13 students, 4 of them are members of SGA. If a committee 6 is chosen, how many ways can…

A: No of ways to form a committee with 0 SGA member = (13-4)C6 = 9C6 = 84. No of ways to form a…

Q: The numbers of users that check social media daily is the same for "35 to 44" and "45 to 54" age…

A: We have to analyze the bar graph.

Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

A: To determine the number of 3-digit codes.

Q: Classify the given statement as true or false ( picture)

A: We have to classify the statement is true or false: If a number is divisible by 6, then it is…

Q: an ice cream store sells 4 drinks, in 3 sizes, and 8 flavors. In how many ways can a customer order…

A: Ice cream stored has, 4 drinks Each of 3 different sizes and each of 8 different flavours. To find,…

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.

Q: coffee shop offers 14 different types of flavor shots. If a customer can choose any number of flavor…

A: Given a coffee shop offers 14 different types of flavor shots.

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: If the average of 5 integers is 300, if the average of the first 2 integers is 100, and the the…

A: given: the average of 5 integers is 300. the average of the first 2 integers is 100. the average of…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Use permutation

Q: The number of ways a team of 2 players can be chosen out of 14 players is O 182 O 14 O 210 O 196 O…

A:

Q: The number of ways a team of 2 players can be chosen out of 9 players is, O 81 O 90 O 9 O 36 O 72

A: To find the number of ways a team of 2 players can be chosen out of 9 players

Q: To use an automated teller machine at a certain​ bank, you must enter a 5​-digit ​code, using the…

A: You can choose 1st digit in 9 ways.  For each of these 9 ways you can choose 2nd digit in 9 ways as…

Q: 10. In Classmate club, secret codes consisted of two letters followed by 3 digits. How many possible…

A: Given that secret code consists of 2 letters followed by 3 digits how many secret codes are…

Q: How many dipferen ways Can the letters -f the ward Bab be aranged

A: The word is Babbe

Q: A doughnut shop sells 6 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if…

A: Question:

Q: If Mahmood has 16 cars in his company and every year he adds 6 cars, then how many cars will he own…

A: Initial no of cars =  16 cars every years he adds 6 cars. so he added total cars in 8 years = 8 x 6…

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: If you select one card at random from a standard deck of 52 cards what is the possibility that the…

A:

Q: There are 85 telephones in the editorial department of Rex Publishing Company. How many 2-way…

A: We know that, if there are m object and we want to choose any two out of n at a time,  then the…

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

A: Given digits is 0,1,2,3,5,7,8,9

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.