How many different ID cards can be made if there are six digits on a card and no digit can be used more than once? What if digits can be repeated? There are made if no digit can be used more than once. different ID cards that can be There are different ID cards that can be made if no digits can be repeated.

Q: An oil company is going to issue new ID codes to its employees. Each code will have one letter,…

A: We have given that We have 22 letters (expect W,X,Y,Z) And 10 digits

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: How many permutations can be made out of the letters BOOKKEEPER?

A: From the given information, Number of letters in BOOKKEEPER = 10 There is 1 B, 2 O's, 2 K's, 3 E's,…

Q: How many ways can you get a four of a kind in a five card hand? Four of a kind is where you receive…

A: The number of ways to get a four of a kind in a five card hand is,

Q: ou have 4 different russian books, 5 different french books, and 6 different spanish books, in how…

A: You have : 4 different Russian books (R) 5 different French books, and (F) 6 different Spanish books…

Q: There are 17 people in an office with 6 different phone lines. If all the lines begin to ring at…

A: Number of people in an office = 17 Number of different phone lines = 6

Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

Q: how many Ways can 7 new members be chosen is 5 or more must be from the senior class

A: It is given that  Students from junior class = 7 Students from senior class = 8   Combination…

Q: Your school locker has a dial with 50 numbers which required 3 numbers to open.  (It is not a…

A: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a…

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

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: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: In how many ways can 3 English, 3 history, and 3 math books be set on a shelf, if the English books…

A:

Q: How many posible 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

A: We have given that 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

Q: A president and a treasurer are to be chosen from a student club consisting of 50 people. There are…

A: From the given information, there are 50 people. A president and treasurer are chosen from a student…

Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: Total available numbers = 9 To make 4 digit code

Q: A secret code for a bank vault consists of 2 letters, then 4 digits and then 4 more letters. How…

A: A code contains 2 letters, 4 digits and then 4 more letters.

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: How many different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

A: Given data: phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1 and…

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: It is given that Number of Republicans = 66 Number of Democrats = 34 To be selected = 6