How many ten-digit telephone numbers are possible if the first three digits must all be different?

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

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Q: A website requires users to set up an account that is password protected. If the password format is…

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Q: How many 10-digit telephone numbers (area code + number) are possible if the first digit cannot be…

A: It is given that the first three digits cannot be 800 or 900 or all the numbers from 000 to 099.…

Q: How many 4-digit numbers can be formed from 1, 2, 3, 4, and 5 if no repetition is allowed?

A: Given : Numbers = 1,2,3,4 and 5

Q: How many 4-digit combinations can be made from the digits 0-9?

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Q: A Certain bacteria culture triples in a number every day. If there were 100 bacteria at the end of…

A: Let in general there are n0 bacteria after 1 day.  Then after second day, no of bacteria will be 3a0…

Q: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed?

A: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed.

Q: A certain country's postal service currently uses 5 -digit zip codes in most areas. How many zip…

A: From the provided information, A certain country’s postal service currently uses 5-digit zip codes…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: Each student at State College has a student I.D. number consisting of seven digits (the first digit…

A: no.of digits ( 0 to 9)=10no.of letters(A,B,C,D,E)=5

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

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Q: A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip…

A: We have given that total 23 question are asked.  First question has 3 answer while remaining 22…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: How many​ 10-digit telephone numbers​ (area code+​number) are possible if the first digit cannot be​…

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Q: A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip…

A: GivenA certin country's postal service currently uses 6-digit zip codesNo.of digits from 0 -9 = 10

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

A: To find the number of ways

Q: How many four-digit passwords can be made from the digits 0 to 5, if digits can be repeated?

A: From 0 to 5 there are 6 digits.  Given that the digits can be repeated. This means for each digit…

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

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Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: How many possible lock codes are there if repetition of letters and numbers is not allowed?

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Q: Four digit numbers can be formed from the six digits 2, 3, 5, 6, 7, and 0. If repetitions are not…

A: here given , 4 digit number can be formed from the six digits 2,3,5,6,7 and 0 4 digit number can be…

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: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

A:

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: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

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Q: A. How many 3 digit numbers greater than 200 can be made from 0,1,2,3,4,5 if repetition of digits is…

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Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

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Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: Given: There are 5digits 0 , 1 , 2 , 3 , 4 We need to count number of  5 digit number plates…

Q: Customer account "numbers" for a certain company consists of 22 letters followed by 44 single-digit…

A: In general, the number of digits is 10. They are, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

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 different four-character passwords are possible if the first and third character must be a…

A: The number of letters from A to Z is 26 and the number of digits from 0 to 9 is 10.

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: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

A: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

Q: How many three-digit odd numbers are possible if the leftmost digit cannot be zero?

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Q: How many 7-digit numbers can be formed if repetitions are not allowed and the last number cannot be…

A: We have to find 7-digit numbers that can be formed if repetitions are not allowed and the last…

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

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Q: How many different license plates are possible if each plate consists of 2 letters followed by a 4…

A: here given license plates consist 2 letters followed by 4 digits

Q: how many different license plates are possible if each contains four english letters followed by…

A: Here total English letter 26  And digits are 0,1,2,....9 that is total 10 digits

Q: A certain country's postal service currently uses 5-digit zip codes in most areas. How many zip…

A: If No Restrictions on the digitSince country uses 5-digit codes and the digits are…

Q: How many different ID cards can be made if there are six digits on a card and no digit can be used…

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Q: How many four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Q: 9. A customer ID consists of 3 digits followed by 2 letters. How many different customer IDs are…

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Q: 2) Phone numbers consist of a three-digit area code followed by seven digits. If the area code must…

A: Given information- We have given that a phone number consist of a three-digit area code followed by…