A. To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the digits 1–9. How many...
A. To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the digits 1–9. How many 4-digit codes are possible if repetition of digits is permitted?
B. If a club consists of 13 members, how many different arrangements of president, vice-president, and secretary are possible?
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A. To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the digits 1–9. How many...
The access code for a car's security system consists of four digits. The first digit cannot...
The access code for a car's security system consists of four digits. The first digit cannot be 4 and the last digit must be even. How many different codes are available? (Note that 0 is considered an even number.)
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2,...
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
1- A bank requires customers to create a five-digit PIN in order to use a debit...
1- A bank requires customers to create a five-digit PIN in order to use a debit card at the bank’s ATMs. How many different PINs can a customer create provided: a. (3 points) there are no restrictions on the digits used? b. (3 points) no digit may be repeated in the PIN? c. (3 points) adjacent digits must be different? 2- A student organization has three officers and 15 members who are not officers. a. (3 points) How many ways...
the access code for a car's security system consists of five digits. the first digit cannot...
the access code for a car's security system consists of five digits. the first digit cannot be eight and the last digit must be even. how many different codes are available? (note that zero is considered an even number)
Discrete Mathematics. Thank You!! 3. Using the digits 1, 2, 3 and 5, how many 4...
Discrete Mathematics. Thank You!!
3. Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? (5 points) b) The first digit must be 1 and repetition of the digits is not allowed? (5 points)
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed...
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed and the number must contain the digit 3 somewhere. Hint: it may be easier to first count the numbers that don't contain the digit 3.
A code word consists of 2 letters followed by 7 digits. The first letter must be...
A code word consists of 2 letters followed by 7 digits. The first letter must be and an A or a w and the last digit cannot be zero. Find the total number of code words possible for the following conditions. 7) Letters can be repeated but not digits Letter cannot be repeated but digits can a. b. 8) A store manager wishes to display 10 different f food in a row In how many
Given the digits 5, 4, 2, 0, 3, 7, 9, 6, 8. How many three-digit number...
Given the digits 5, 4, 2, 0, 3, 7, 9, 6, 8. How many three-digit number codes can be formed if the hundreds place must be even and the ones place is at least 5? No repition
Chris is figuring out a new code for his garage door. He must create a 4...
Chris is figuring out a new code for his garage door. He must create a 4 digit code but the keypad only allows for digits 0-5 to be used. How many possible codes could Chris create if he wanted to at least use one even digit (0,2,4). There are no rules about repetitions or the amount of 0's.
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can...
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can be formed from them: (a) If no digit may be repeated. (b) If repetitions of a digit are allowed. (c) If the number must be even, without any repeated digit. (d) If the number must be even.
Discrete Mathematics. Thank You!!
3. Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? (5 points) b) The first digit must be 1 and repetition of the digits is not allowed? (5 points)
A code word consists of 2 letters followed by 7 digits. The first letter must be and an A or a w and the last digit cannot be zero. Find the total number of code words possible for the following conditions. 7) Letters can be repeated but not digits Letter cannot be repeated but digits can a. b. 8) A store manager wishes to display 10 different f food in a row In how many
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can be formed from them: (a) If no digit may be repeated. (b) If repetitions of a digit are allowed. (c) If the number must be even, without any repeated digit. (d) If the number must be even.
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