Question
In: Statistics and Probability
The number 52430 is a 5-digit number whereas 03201 is not a 5-digit number. Determine the...
The number 52430 is a 5-digit number whereas 03201 is not a
5-digit number. Determine the
number of 5-digit multiples of 5 that can be created using the
digits 0 to 9, if digits may not be
repeated
Solutions
Expert Solution
solution:
Total no.of digits possible(0-9) = 10
Given that constraints for the formation of 5-digit number
----> First digit cannot be zero
----> Digits cannot be repeated
----> Digit must be a multiple of 5 (i.e., last digit must either 0 or 5)
| 1st digit | 2nd digit | 3rd digit | 4th digit | 5th digit |
Case-i: When the last digit is 5
1st Digit : Here, The total no.of possible digits = 8 [since 0,5 cannot be used here ]
2nd Digit : The no,of possible digits = 8 [since 1 digit previously and 5 will be used at last ]
3rd digit: Here,The no.of possible digits = 7
4th digit : Here, the no.of possible digits = 6
5th digit:Here,the no.of possible digits = 1 [ i.e., 5]
By Multiplication rule
Total no.of possible 5-digit numbers with last digit 5 = 8*8*7*6*1 = 2688
Case-ii: When the last digit is 0
1st Digit : Here, The total no.of possible digits = 9 [since 0 cannot be used here ]
2nd Digit : The no,of possible digits = 8 [since 1 digit previously and 0 will be used at last ]
3rd digit: Here,The no.of possible digits = 7
4th digit : Here, the no.of possible digits = 6
5th digit:Here,the no.of possible digits = 1 [ i.e., 0]
By Multiplication rule
Total no.of possible 5-digit numbers with last digit 0 = 9*8*7*6*1 = 3024
The total number of 5-digit multiples of 5 that can be created
using 0 to 9 = 2688+3024 = 5712
orchestra answered 1 year agoRelated Solutions
Program 5: The concept of a 5-digit palindromenumber is a 5-digit number that reads the...
Program 5: The concept of a 5-digit palindrome
number is a 5-digit number that reads the same from left to right
and from right to left. For example, 12121, 45454, and 14741 are
valid 5-digit palindrome numbers. Design (pseudocode) and implement
(source code) a program (name it FiveDigitPalindrom) that reads a
5-digit number from the user (as integer value, not string) and
then mathematically (using division and remainder operations)
determines whether the entered number is a 5-digit palindrome or
not....
Question 4: Set P to the largest digit in your 5 digit number. For example, if...
Question 4: Set P to the largest digit in your 5 digit number.
For example, if your 5 digit number is 88412, then P should be set
to 8. Calculate and print the value of (P+1) multiplied by itself
(P+3) times. As an example, if your 5 digit number is 88412, you
should print the result of multiplying 9 with itself 12 times --
this is also known as 9 to the power of 12. HINT: you are free to...
Credit Card Number Check. The last digit of a credit card number is the check digit,...
Credit Card Number Check. The last digit of a credit card number
is the check digit, which protects against transcription errors
such as error in a single digit or switching two digits. The
following method is used to verify actual credit card number but,
for simplicity, we will describe it for numbers with 8 digits
instead of 16: Starting from the rightmost digit, form the sum of
every other digit. For example, if the credit card number is
43589795, then...
Credit Card Number Check. The last digit of a credit card number is the check digit,...
Credit Card Number Check. The last digit of a credit card number
is the check digit, which protects against transcription errors
such as an error in a single digit or switching two digits. The
following method is used to verify actual credit card numbers but,
for simplicity, we will describe it for numbers with 8 digits
instead of 16:
• Starting from the rightmost digit, form the sum of every other
digit. For example, if the credit card number is...
Credit Card Number Check. The last digit of a credit card number is the check digit,...
Credit Card Number Check. The last digit of a credit card number
is the check digit, which protects against transcription errors
such as an error in a single digit or switching two digits. The
following method is used to verify actual credit card numbers but,
for simplicity, we will describe it for numbers with 8 digits
instead of 16:
• Starting from the rightmost digit, form the sum of every other
digit. For example, if the credit card number is...
Write a program that does the following: Prompts the user for a 5-digit number. Divides that...
Write a program that does the following:
Prompts the user for a 5-digit number.
Divides that number into its separate five digits.
Adds up the sum of those five digits.
Outputs that sum
You should test your program with at least the following test
cases. (I am to be programming with python)
>>>
RESTART: /Users/mamp/Desktop/Desktop -
Enter a 5-digit number: 12345
15
>>>
RESTART: /Users/mamp/Desktop/Desktop -
Enter a 5-digit number: 00000
0
>>>
RESTART: /Users/mamp/Desktop/Desktop -
Enter a 5-digit number:...
Determine if the following statements are true or false: 1. There is exactly one two-digit number...
Determine if the following statements are true or false:
1. There is exactly one two-digit number (in the range from 10
through 99} that is congruent to 1 modulo 3, to 3 modulo 4, and to
3 modulo 5.
2. A minimum element for a partial order R on a
set X is an element a such that for every element b, R(a, b) is
true. If X is a nonempty finite set, then there must be exactly one
minimum...
1An identification code is to consist of 2 letters followed by 5 digit. Determine the fallowing?...
1An
identification code is to consist of 2 letters followed by 5 digit.
Determine the fallowing?
1a) how many different codes are posible if repetition is
permitted?
1b) how many different codes are possible if repetition is not
permitted, but the first 2 letters must ve the same letter?
1c) how many different codes are possible if the first letter
must be, P, Q, R, S, T, and repetition for everything else is not
permitted?
- Determine the number of three-digit area codes that can be made from the digits 0-9,...
- Determine the number of three-digit area codes that can be
made from the digits 0-9, assuming the digits can repeat.
- Suppose that there are 15 people in a class. How many ways can
the instructor randomly pick three students, if the order doesn’t
matter?
-You are playing a game at a local carnival where you must pick
a card from a normal 52-card deck. If you pick a face card (jack,
queen or king) you get $2. If...
Using the digits 2 through 8, find the number of different 5-digit numbers such that: (a)...
Using the digits 2 through 8, find the number of different
5-digit numbers such that: (a) Digits can be used more than once.
(b) Digits cannot be repeated, but can come in any order. (c)
Digits cannot be repeated and must be written in increasing order.
(d) Which of the above counting questions is a combination and
which is a permutation? Explain why this makes sense
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Economist Steven Landsburg argues that if one believes in the death penalty for murderers because of...
- Need this in C# and also the Pseudocode. Program 4: In 1789, Benjamin Franklin is known...
- WRITE one paragraph summary of the PEER TO PEER NETWORK using the following format. the paragraph...
- Think of a situation that you may have experienced, witnessed, or heard about where the unethical...
- How does informed consent differ between health care and mental health? It is imperative that the...
- INTC current stock price is 23. You sold a 22 put and bought a 21 put....
- 5. A car weighs 2200 lbs. Its mass is a. 2.2 kg b. 2200 kg c....
ADVERTISEMENT